Search a number
-
+
157160466 = 23317316823
BaseRepresentation
bin10010101111000…
…01010000010010
3101221201120122000
421113201100102
5310213113331
623332254430
73615561531
oct1127412022
9357646560
10157160466
1180792a91
1244771416
1326738178
1416c30318
15dbe60e6
hex95e1412

157160466 has 32 divisors (see below), whose sum is σ = 351285120. Its totient is φ = 52080912.

The previous prime is 157160453. The next prime is 157160473. The reversal of 157160466 is 664061751.

157160466 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1571604663 (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 157160466.

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 15 ways as a sum of consecutive naturals, for example, 931 + ... + 17753.

It is an arithmetic number, because the mean of its divisors is an integer number (10977660).

Almost surely, 2157160466 is an apocalyptic number.

157160466 is an abundant number, since it is smaller than the sum of its proper divisors (194124654).

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

157160466 is a wasteful number, since it uses less digits than its factorization.

157160466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17007 (or 17001 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 157160466 is about 12536.3657413143. The cubic root of 157160466 is about 539.6528015044.

The spelling of 157160466 in words is "one hundred fifty-seven million, one hundred sixty thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 173 346 519 1038 1557 3114 4671 9342 16823 33646 50469 100938 151407 302814 454221 908442 2910379 5820758 8731137 17462274 26193411 52386822 78580233 157160466