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116527936 = 2672343263
BaseRepresentation
bin1101111001000…
…01001101000000
322010021020021111
412330201031000
5214312343221
615321333104
72613320410
oct674411500
9263236244
10116527936
115a860188
1233037194
131b1ac755
1411694640
15a36bbe1
hex6f21340

116527936 has 112 divisors (see below), whose sum is σ = 283244544. Its totient is φ = 46480896.

The previous prime is 116527927. The next prime is 116527949. The reversal of 116527936 is 639725611.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 442941 + ... + 443203.

Almost surely, 2116527936 is an apocalyptic number.

116527936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116527936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141622272).

116527936 is an abundant number, since it is smaller than the sum of its proper divisors (166716608).

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

116527936 is a wasteful number, since it uses less digits than its factorization.

116527936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its digits is 68040, while the sum is 40.

The square root of 116527936 is about 10794.8106051010. The cubic root of 116527936 is about 488.4386452844.

The spelling of 116527936 in words is "one hundred sixteen million, five hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 43 46 56 64 86 92 112 161 172 184 224 263 301 322 344 368 448 526 602 644 688 736 989 1052 1204 1288 1376 1472 1841 1978 2104 2408 2576 2752 3682 3956 4208 4816 5152 6049 6923 7364 7912 8416 9632 10304 11309 12098 13846 14728 15824 16832 19264 22618 24196 27692 29456 31648 42343 45236 48392 55384 58912 63296 79163 84686 90472 96784 110768 117824 158326 169372 180944 193568 221536 260107 316652 338744 361888 387136 443072 520214 633304 677488 723776 1040428 1266608 1354976 1820749 2080856 2533216 2709952 3641498 4161712 5066432 7282996 8323424 14565992 16646848 29131984 58263968 116527936