Search a number
-
+
460072632 = 233171127629
BaseRepresentation
bin11011011011000…
…010011010111000
31012001201010000010
4123123002122320
51420234311012
6113352541520
714254360425
oct3333023270
91161633003
10460072632
11216776418
1210a0b18a0
1374415636
1445160d4c
152a5ccc3c
hex1b6c26b8

460072632 has 32 divisors (see below), whose sum is σ = 1217840400. Its totient is φ = 144336384.

The previous prime is 460072621. The next prime is 460072651. The reversal of 460072632 is 236270064.

It is a self number, because there is not a number n which added to its sum of digits gives 460072632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 563407 + ... + 564222.

Almost surely, 2460072632 is an apocalyptic number.

It is an amenable number.

460072632 is an abundant number, since it is smaller than the sum of its proper divisors (757767768).

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

460072632 is a wasteful number, since it uses less digits than its factorization.

460072632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127655 (or 1127651 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 460072632 is about 21449.3037649244. The cubic root of 460072632 is about 771.9848896789.

The spelling of 460072632 in words is "four hundred sixty million, seventy-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1127629 2255258 3382887 4510516 6765774 9021032 13531548 19169693 27063096 38339386 57509079 76678772 115018158 153357544 230036316 460072632