Search a number
-
+
155531460 = 22357477879
BaseRepresentation
bin10010100010100…
…11100011000100
3101211122211001110
421101103203010
5304304001320
623233325020
73565665330
oct1121234304
9354584043
10155531460
117a8800a7
1244106770
13262b7866
14169287c0
15d9c35e0
hex94538c4

155531460 has 96 divisors (see below), whose sum is σ = 508354560. Its totient is φ = 34789248.

The previous prime is 155531443. The next prime is 155531471. The reversal of 155531460 is 64135551.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15801 + ... + 23679.

It is an arithmetic number, because the mean of its divisors is an integer number (5295360).

Almost surely, 2155531460 is an apocalyptic number.

155531460 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 155531460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254177280).

155531460 is an abundant number, since it is smaller than the sum of its proper divisors (352823100).

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

155531460 is a wasteful number, since it uses less digits than its factorization.

155531460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7945 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 155531460 is about 12471.2252806210. The cubic root of 155531460 is about 537.7817783412.

The spelling of 155531460 in words is "one hundred fifty-five million, five hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3948 4935 6580 7879 9870 15758 19740 23637 31516 39395 47274 55153 78790 94548 110306 118185 157580 165459 220612 236370 275765 330918 370313 472740 551530 661836 740626 827295 1103060 1110939 1481252 1654590 1851565 2221878 2592191 3309180 3703130 4443756 5184382 5554695 7406260 7776573 10368764 11109390 12960955 15553146 22218780 25921910 31106292 38882865 51843820 77765730 155531460