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116533536 = 2537199127
BaseRepresentation
bin1101111001000…
…10100100100000
322010021111221220
412330202210200
5214313033121
615321415040
72613342630
oct674424440
9263244856
10116533536
115a864409
123303a480
131b1b2172
14116966c0
15a36d6c6
hex6f22920

116533536 has 96 divisors (see below), whose sum is σ = 368040960. Its totient is φ = 31539456.

The previous prime is 116533511. The next prime is 116533541. The reversal of 116533536 is 635335611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 116533497 and 116533506.

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, 8205 + ... + 17331.

It is an arithmetic number, because the mean of its divisors is an integer number (3833760).

Almost surely, 2116533536 is an apocalyptic number.

116533536 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 116533536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184020480).

116533536 is an abundant number, since it is smaller than the sum of its proper divisors (251507424).

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

116533536 is a wasteful number, since it uses less digits than its factorization.

116533536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9166 (or 9158 counting only the distinct ones).

The product of its digits is 24300, while the sum is 33.

The square root of 116533536 is about 10795.0699858778. The cubic root of 116533536 is about 488.4464694814.

The spelling of 116533536 in words is "one hundred sixteen million, five hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 9127 12768 18254 27381 36508 54762 63889 73016 109524 127778 146032 173413 191667 219048 255556 292064 346826 383334 438096 511112 520239 693652 766668 876192 1022224 1040478 1213891 1387304 1533336 2044448 2080956 2427782 2774608 3066672 3641673 4161912 4855564 5549216 6133344 7283346 8323824 9711128 14566692 16647648 19422256 29133384 38844512 58266768 116533536