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816070536 = 233231596197
BaseRepresentation
bin110000101001000…
…011111110001000
32002212120200022200
4300221003332020
53132403224121
6212551120200
726136325251
oct6051037610
92085520280
10816070536
11389717966
121a9373060
131000bb898
147a54db28
154b99da26
hex30a43f88

816070536 has 96 divisors (see below), whose sum is σ = 2320531200. Its totient is φ = 258744960.

The previous prime is 816070517. The next prime is 816070547. The reversal of 816070536 is 635070618.

It is a super-2 number, since 2×8160705362 = 1331942239454654592, which contains 22 as substring.

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 816070536.

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 23 ways as a sum of consecutive naturals, for example, 128590 + ... + 134786.

It is an arithmetic number, because the mean of its divisors is an integer number (24172200).

Almost surely, 2816070536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816070536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160265600).

816070536 is an abundant number, since it is smaller than the sum of its proper divisors (1504460664).

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

816070536 is a wasteful number, since it uses less digits than its factorization.

With its successor (816070537) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (6299).

816070536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 816070536 is about 28566.9483144420. The cubic root of 816070536 is about 934.4926703347.

The spelling of 816070536 in words is "eight hundred sixteen million, seventy thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 59 62 72 93 118 124 177 186 236 248 279 354 372 472 531 558 708 744 1062 1116 1416 1829 2124 2232 3658 4248 5487 6197 7316 10974 12394 14632 16461 18591 21948 24788 32922 37182 43896 49576 55773 65844 74364 111546 131688 148728 192107 223092 365623 384214 446184 576321 731246 768428 1096869 1152642 1462492 1536856 1728963 2193738 2305284 2924984 3290607 3457926 4387476 4610568 6581214 6915852 8774952 11334313 13162428 13831704 22668626 26324856 34002939 45337252 68005878 90674504 102008817 136011756 204017634 272023512 408035268 816070536