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460152132 = 223116075743
BaseRepresentation
bin11011011011010…
…101110101000100
31012001212011001120
4123123111311010
51420244332012
6113354353540
714255141256
oct3333256504
91161764046
10460152132
11216820120
1210a12b8b0
137444288b
1445181cd6
152a5e658c
hex1b6d5d44

460152132 has 48 divisors (see below), whose sum is σ = 1173430272. Its totient is φ = 139186080.

The previous prime is 460152113. The next prime is 460152149. The reversal of 460152132 is 231251064.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77253 + ... + 82995.

It is an arithmetic number, because the mean of its divisors is an integer number (24446464).

Almost surely, 2460152132 is an apocalyptic number.

It is an amenable number.

460152132 is an abundant number, since it is smaller than the sum of its proper divisors (713278140).

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

460152132 is a wasteful number, since it uses less digits than its factorization.

460152132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6368 (or 6366 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 460152132 is about 21451.1568918788. The cubic root of 460152132 is about 772.0293531395.

The spelling of 460152132 in words is "four hundred sixty million, one hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 607 1214 1821 2428 3642 5743 6677 7284 11486 13354 17229 20031 22972 26708 34458 40062 63173 68916 80124 126346 189519 252692 379038 758076 3486001 6972002 10458003 13944004 20916006 38346011 41832012 76692022 115038033 153384044 230076066 460152132