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116538336 = 25321732339
BaseRepresentation
bin1101111001000…
…11101111100000
322010021202112200
412330203233200
5214313211321
615321453200
72613362625
oct674435740
9263252480
10116538336
115a867a82
1233041200
131b1b43c5
141169834c
15a36ed26
hex6f23be0

116538336 has 72 divisors (see below), whose sum is σ = 333464040. Its totient is φ = 38605056.

The previous prime is 116538319. The next prime is 116538337. The reversal of 116538336 is 633835611.

It is a happy number.

116538336 is a `hidden beast` number, since 116 + 538 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 116538336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116538337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48655 + ... + 50993.

It is an arithmetic number, because the mean of its divisors is an integer number (4631445).

Almost surely, 2116538336 is an apocalyptic number.

116538336 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 116538336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166732020).

116538336 is an abundant number, since it is smaller than the sum of its proper divisors (216925704).

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

116538336 is a wasteful number, since it uses less digits than its factorization.

116538336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2517 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 116538336 is about 10795.2923072977. The cubic root of 116538336 is about 488.4531757366.

The spelling of 116538336 in words is "one hundred sixteen million, five hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 1038 1384 1557 2076 2339 2768 3114 4152 4678 5536 6228 7017 8304 9356 12456 14034 16608 18712 21051 24912 28068 37424 42102 49824 56136 74848 84204 112272 168408 224544 336816 404647 673632 809294 1213941 1618588 2427882 3237176 3641823 4855764 6474352 7283646 9711528 12948704 14567292 19423056 29134584 38846112 58269168 116538336