Search a number
-
+
1530306432 = 27341031433
BaseRepresentation
bin101101100110110…
…1001111110000000
310221122112121210000
41123031221332000
511113224301212
6411503440000
752631250534
oct13315517600
93848477700
101530306432
117158aa966
123685b6000
131b5073885
14107351bc4
158e5341dc
hex5b369f80

1530306432 has 160 divisors (see below), whose sum is σ = 4601591280. Its totient is φ = 504797184.

The previous prime is 1530306409. The next prime is 1530306433. The reversal of 1530306432 is 2346030351.

It is a happy number.

1530306432 is a `hidden beast` number, since 15 + 3 + 0 + 3 + 0 + 643 + 2 = 666.

1530306432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1530306396 and 1530306405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530306433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1067188 + ... + 1068620.

Almost surely, 21530306432 is an apocalyptic number.

1530306432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300795640).

1530306432 is an abundant number, since it is smaller than the sum of its proper divisors (3071284848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1530306432 is a wasteful number, since it uses less digits than its factorization.

1530306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1530306432 is about 39119.1312786979. The cubic root of 1530306432 is about 1152.3722755174.

Adding to 1530306432 its reverse (2346030351), we get a palindrome (3876336783).

The spelling of 1530306432 in words is "one billion, five hundred thirty million, three hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 103 108 128 144 162 192 206 216 288 309 324 384 412 432 576 618 648 824 864 927 1152 1236 1296 1433 1648 1728 1854 2472 2592 2781 2866 3296 3456 3708 4299 4944 5184 5562 5732 6592 7416 8343 8598 9888 10368 11124 11464 12897 13184 14832 16686 17196 19776 22248 22928 25794 29664 33372 34392 38691 39552 44496 45856 51588 59328 66744 68784 77382 88992 91712 103176 116073 118656 133488 137568 147599 154764 177984 183424 206352 232146 266976 275136 295198 309528 355968 412704 442797 464292 533952 550272 590396 619056 825408 885594 928584 1067904 1180792 1238112 1328391 1650816 1771188 1857168 2361584 2476224 2656782 3542376 3714336 3985173 4723168 4952448 5313564 7084752 7428672 7970346 9446336 10627128 11955519 14169504 14857344 15940692 18892672 21254256 23911038 28339008 31881384 42508512 47822076 56678016 63762768 85017024 95644152 127525536 170034048 191288304 255051072 382576608 510102144 765153216 1530306432