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1316460456 = 2332111716369
BaseRepresentation
bin100111001110111…
…1001011110101000
310101202011010020200
41032131321132220
510144003213311
6334344152200
744423505063
oct11635713650
93352133220
101316460456
11616120253
12308a68660
1317c97c2ac
14c6ba78da
157a892556
hex4e7797a8

1316460456 has 48 divisors (see below), whose sum is σ = 3568823700. Its totient is φ = 438400512.

The previous prime is 1316460443. The next prime is 1316460461. The reversal of 1316460456 is 6540646131.

It is a happy number.

1316460456 is a `hidden beast` number, since 1 + 3 + 1 + 646 + 0 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1133399556 + 183060900 = 33666^2 + 13530^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1316460456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72240 + ... + 88608.

Almost surely, 21316460456 is an apocalyptic number.

It is an amenable number.

1316460456 is an abundant number, since it is smaller than the sum of its proper divisors (2252363244).

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

1316460456 is a wasteful number, since it uses less digits than its factorization.

1316460456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17498 (or 17491 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1316460456 is about 36283.0601796486. The cubic root of 1316460456 is about 1095.9799421800.

The spelling of 1316460456 in words is "one billion, three hundred sixteen million, four hundred sixty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1117 2234 3351 4468 6702 8936 10053 13404 16369 20106 26808 32738 40212 49107 65476 80424 98214 130952 147321 196428 294642 392856 589284 1178568 18284173 36568346 54852519 73136692 109705038 146273384 164557557 219410076 329115114 438820152 658230228 1316460456