Search a number
-
+
1533054840 = 233529601733
BaseRepresentation
bin101101101100000…
…1000111101111000
310221211201020212220
41123120020331320
511114430223330
6412042404040
752663515432
oct13330107570
93854636786
101533054840
11717407879
12369500620
131b57c6855
14107869652
158e8c8710
hex5b608f78

1533054840 has 128 divisors (see below), whose sum is σ = 4772174400. Its totient is φ = 393523200.

The previous prime is 1533054827. The next prime is 1533054847. The reversal of 1533054840 is 484503351.

1533054840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1533054847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2091114 + ... + 2091846.

Almost surely, 21533054840 is an apocalyptic number.

1533054840 is a gapful number since it is divisible by the number (10) 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 1533054840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386087200).

1533054840 is an abundant number, since it is smaller than the sum of its proper divisors (3239119560).

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

1533054840 is a wasteful number, since it uses less digits than its factorization.

1533054840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1533054840 is about 39154.2442143888. The cubic root of 1533054840 is about 1153.0617441818.

The spelling of 1533054840 in words is "one billion, five hundred thirty-three million, fifty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 601 696 733 870 1160 1202 1466 1740 1803 2199 2404 2932 3005 3480 3606 3665 4398 4808 5864 6010 7212 7330 8796 9015 10995 12020 14424 14660 17429 17592 18030 21257 21990 24040 29320 34858 36060 42514 43980 52287 63771 69716 72120 85028 87145 87960 104574 106285 127542 139432 170056 174290 209148 212570 255084 261435 318855 348580 418296 425140 440533 510168 522870 637710 697160 850280 881066 1045740 1275420 1321599 1762132 2091480 2202665 2550840 2643198 3524264 4405330 5286396 6607995 8810660 10572792 12775457 13215990 17621320 25550914 26431980 38326371 51101828 52863960 63877285 76652742 102203656 127754570 153305484 191631855 255509140 306610968 383263710 511018280 766527420 1533054840