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116704364 = 22737127887
BaseRepresentation
bin1101111010011…
…00010001101100
322010121012021212
412331030101230
5214334014424
615325213552
72614653650
oct675142154
9263535255
10116704364
115a970797
12331012b8
131b241b4a
14116dca60
15a3a410e
hex6f4c46c

116704364 has 48 divisors (see below), whose sum is σ = 241876992. Its totient is φ = 48226752.

The previous prime is 116704361. The next prime is 116704411. The reversal of 116704364 is 463407611.

116704364 = T1 + T2 + ... + T887.

116704364 is a nontrivial binomial coefficient, being equal to C(889, 3).

It is a self number, because there is not a number n which added to its sum of digits gives 116704364.

It is not an unprimeable number, because it can be changed into a prime (116704361) by changing a digit.

It is the 887-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131129 + ... + 132015.

It is an arithmetic number, because the mean of its divisors is an integer number (5039104).

Almost surely, 2116704364 is an apocalyptic number.

116704364 is a gapful number since it is divisible by the number (14) 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 116704364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120938496).

116704364 is an abundant number, since it is smaller than the sum of its proper divisors (125172628).

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

116704364 is a wasteful number, since it uses less digits than its factorization.

116704364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 116704364 is about 10802.9794038497. The cubic root of 116704364 is about 488.6850262593.

The spelling of 116704364 in words is "one hundred sixteen million, seven hundred four thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 37 74 127 148 254 259 508 518 887 889 1036 1774 1778 3548 3556 4699 6209 9398 12418 18796 24836 32819 32893 65638 65786 112649 131276 131572 225298 229733 450596 459466 788543 918932 1577086 3154172 4168013 8336026 16672052 29176091 58352182 116704364