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816814130 = 251121739709
BaseRepresentation
bin110000101011111…
…001100000110010
32002220222110100012
4300223321200302
53133101023010
6213015054522
726145543206
oct6053714062
92086873305
10816814130
1138a085600
121a9671442
131002bc192
147a6a4b06
154ba99005
hex30af9832

816814130 has 48 divisors (see below), whose sum is σ = 1711183320. Its totient is φ = 279544320.

The previous prime is 816814129. The next prime is 816814151. The reversal of 816814130 is 31418618.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 812307001 + 4507129 = 28501^2 + 2123^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716 + ... + 40424.

Almost surely, 2816814130 is an apocalyptic number.

816814130 is an abundant number, since it is smaller than the sum of its proper divisors (894369190).

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

816814130 is a wasteful number, since it uses less digits than its factorization.

816814130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39755 (or 39744 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 816814130 is about 28579.9602868863. The cubic root of 816814130 is about 934.7764171280.

The spelling of 816814130 in words is "eight hundred sixteen million, eight hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 374 605 935 1210 1870 2057 4114 10285 20570 39709 79418 198545 397090 436799 675053 873598 1350106 2183995 3375265 4367990 4804789 6750530 7425583 9609578 14851166 24023945 37127915 48047890 74255830 81681413 163362826 408407065 816814130