Search a number
-
+
460653264 = 24331066327
BaseRepresentation
bin11011011101010…
…000001011010000
31012002210121111000
4123131100023100
51420411401024
6113413222000
714262326301
oct3335201320
91162717430
10460653264
11217032685
1210a331900
13745899c6
14452727a8
152a694cc9
hex1b7502d0

460653264 has 40 divisors (see below), whose sum is σ = 1322246720. Its totient is φ = 153550944.

The previous prime is 460653241. The next prime is 460653283. The reversal of 460653264 is 462356064.

460653264 is a `hidden beast` number, since 4 + 60 + 6 + 532 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532732 + ... + 533595.

It is an arithmetic number, because the mean of its divisors is an integer number (33056168).

Almost surely, 2460653264 is an apocalyptic number.

It is an amenable number.

460653264 is an abundant number, since it is smaller than the sum of its proper divisors (861593456).

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

460653264 is a wasteful number, since it uses less digits than its factorization.

460653264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066344 (or 1066332 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 460653264 is about 21462.8344819597. The cubic root of 460653264 is about 772.3095128402.

The spelling of 460653264 in words is "four hundred sixty million, six hundred fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1066327 2132654 3198981 4265308 6397962 8530616 9596943 12795924 17061232 19193886 25591848 28790829 38387772 51183696 57581658 76775544 115163316 153551088 230326632 460653264