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1316288040 = 233511879241
BaseRepresentation
bin100111001110100…
…1111011000101000
310101201211100201220
41032131033120220
510143432204130
6334340342040
744422156314
oct11635173050
93351740656
101316288040
11616012761
123089a4920
1317c91b982
14c6b60b44
157a85b410
hex4e74f628

1316288040 has 64 divisors (see below), whose sum is σ = 3952618560. Its totient is φ = 350676480.

The previous prime is 1316288011. The next prime is 1316288059. The reversal of 1316288040 is 408826131.

1316288040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13162880402 = 3465228408494083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1316287992 and 1316288010.

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, 137820 + ... + 147060.

It is an arithmetic number, because the mean of its divisors is an integer number (61759665).

Almost surely, 21316288040 is an apocalyptic number.

1316288040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1316288040 is an abundant number, since it is smaller than the sum of its proper divisors (2636330520).

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

1316288040 is a wasteful number, since it uses less digits than its factorization.

1316288040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10442 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1316288040 is about 36280.6841170340. The cubic root of 1316288040 is about 1095.9320934893.

The spelling of 1316288040 in words is "one billion, three hundred sixteen million, two hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1187 2374 3561 4748 5935 7122 9241 9496 11870 14244 17805 18482 23740 27723 28488 35610 36964 46205 47480 55446 71220 73928 92410 110892 138615 142440 184820 221784 277230 369640 554460 1108920 10969067 21938134 32907201 43876268 54845335 65814402 87752536 109690670 131628804 164536005 219381340 263257608 329072010 438762680 658144020 1316288040