Search a number
-
+
15427457430 = 235741119471
BaseRepresentation
bin11100101111000110…
…00101000110010110
31110211011111001001020
432113203011012112
5223043412114210
611030503542010
71054210140000
oct162743050626
943734431036
1015427457430
1165a7441120
122ba675a906
1315bb282248
14a64cd5370
156045ed770
hex3978c5196

15427457430 has 160 divisors (see below), whose sum is σ = 47123486208. Its totient is φ = 3205540800.

The previous prime is 15427457429. The next prime is 15427457431. The reversal of 15427457430 is 3475472451.

15427457430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15427457429) and next prime (15427457431).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15427457431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 782595 + ... + 802065.

Almost surely, 215427457430 is an apocalyptic number.

15427457430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15427457430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23561743104).

15427457430 is an abundant number, since it is smaller than the sum of its proper divisors (31696028778).

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

15427457430 is a wasteful number, since it uses less digits than its factorization.

15427457430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19520 (or 19499 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 15427457430 in words is "fifteen billion, four hundred twenty-seven million, four hundred fifty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 343 385 462 490 539 686 735 770 1029 1078 1155 1470 1617 1715 2058 2310 2401 2695 3234 3430 3773 4802 5145 5390 7203 7546 8085 10290 11319 12005 14406 16170 18865 19471 22638 24010 26411 36015 37730 38942 52822 56595 58413 72030 79233 97355 113190 116826 132055 136297 158466 194710 214181 264110 272594 292065 396165 408891 428362 584130 642543 681485 792330 817782 954079 1070905 1285086 1362970 1499267 1908158 2044455 2141810 2862237 2998534 3212715 4088910 4497801 4770395 5724474 6425430 6678553 7496335 8995602 9540790 10494869 13357106 14311185 14992670 20035659 20989738 22489005 28622370 31484607 33392765 40071318 44978010 46749871 52474345 62969214 66785530 73464083 93499742 100178295 104948690 140249613 146928166 157423035 200356590 220392249 233749355 280499226 314846070 367320415 440784498 467498710 514248581 701248065 734640830 1028497162 1101961245 1402496130 1542745743 2203922490 2571242905 3085491486 5142485810 7713728715 15427457430