Search a number
-
+
158904460 = 225112135051
BaseRepresentation
bin10010111100010…
…11000010001100
3102002000011221101
421132023002030
5311134420320
623433512444
73636444211
oct1136130214
9362004841
10158904460
1181774300
1245272724
1326bc8c10
1417165b08
15de3cc0a
hex978b08c

158904460 has 72 divisors (see below), whose sum is σ = 395086608. Its totient is φ = 53328000.

The previous prime is 158904443. The next prime is 158904463. The reversal of 158904460 is 64409851.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (158904463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28935 + ... + 33985.

It is an arithmetic number, because the mean of its divisors is an integer number (5487314).

Almost surely, 2158904460 is an apocalyptic number.

158904460 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 158904460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197543304).

158904460 is an abundant number, since it is smaller than the sum of its proper divisors (236182148).

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

158904460 is a wasteful number, since it uses less digits than its factorization.

158904460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 158904460 is about 12605.7312362274. The cubic root of 158904460 is about 541.6416207223.

The spelling of 158904460 in words is "one hundred fifty-eight million, nine hundred four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 5051 6292 7865 10102 15730 20204 25255 31460 50510 55561 65663 101020 111122 131326 222244 262652 277805 328315 555610 611171 656630 722293 1111220 1222342 1313260 1444586 2444684 2889172 3055855 3611465 6111710 7222930 7945223 12223420 14445860 15890446 31780892 39726115 79452230 158904460