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460080096 = 2537684643
BaseRepresentation
bin11011011011000…
…100001111100000
31012001201111020120
4123123010033200
51420240030341
6113353040240
714254421250
oct3333041740
91161644216
10460080096
11216780a93
1210a0b6080
1374418b58
1445163960
152a5d0066
hex1b6c43e0

460080096 has 48 divisors (see below), whose sum is σ = 1380242304. Its totient is φ = 131451264.

The previous prime is 460080077. The next prime is 460080097. The reversal of 460080096 is 690080064.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460080097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341650 + ... + 342993.

It is an arithmetic number, because the mean of its divisors is an integer number (28755048).

Almost surely, 2460080096 is an apocalyptic number.

It is an amenable number.

460080096 is an abundant number, since it is smaller than the sum of its proper divisors (920162208).

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

460080096 is a wasteful number, since it uses less digits than its factorization.

460080096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684663 (or 684655 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 460080096 is about 21449.4777558802. The cubic root of 460080096 is about 771.9890644285.

The spelling of 460080096 in words is "four hundred sixty million, eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 684643 1369286 2053929 2738572 4107858 4792501 5477144 8215716 9585002 10954288 14377503 16431432 19170004 21908576 28755006 32862864 38340008 57510012 65725728 76680016 115020024 153360032 230040048 460080096