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116070528 = 2737291489
BaseRepresentation
bin1101110101100…
…01100010000000
322002101222211110
412322301202000
5214203224103
615303443320
72606404020
oct672614200
9262358743
10116070528
115a578562
1232a56540
131b07c4b2
14115b5a80
15a2cb403
hex6eb1880

116070528 has 128 divisors (see below), whose sum is σ = 364752000. Its totient is φ = 31997952.

The previous prime is 116070481. The next prime is 116070533. The reversal of 116070528 is 825070611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 116070495 and 116070504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77208 + ... + 78696.

It is an arithmetic number, because the mean of its divisors is an integer number (2849625).

Almost surely, 2116070528 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 116070528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182376000).

116070528 is an abundant number, since it is smaller than the sum of its proper divisors (248681472).

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

116070528 is a wasteful number, since it uses less digits than its factorization.

116070528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 116070528 is about 10773.6032969476. The cubic root of 116070528 is about 487.7987165947.

The spelling of 116070528 in words is "one hundred sixteen million, seventy thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 609 672 696 812 896 928 1218 1344 1392 1489 1624 1856 2436 2688 2784 2978 3248 3712 4467 4872 5568 5956 6496 8934 9744 10423 11136 11912 12992 17868 19488 20846 23824 25984 31269 35736 38976 41692 43181 47648 62538 71472 77952 83384 86362 95296 125076 129543 142944 166768 172724 190592 250152 259086 285888 302267 333536 345448 500304 518172 571776 604534 667072 690896 906801 1000608 1036344 1209068 1334144 1381792 1813602 2001216 2072688 2418136 2763584 3627204 4002432 4145376 4836272 5527168 7254408 8290752 9672544 14508816 16581504 19345088 29017632 38690176 58035264 116070528