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116408352 = 25353137167
BaseRepresentation
bin1101111000001…
…00000000100000
322010001011020110
412330010000200
5214300031402
615315011320
72612311644
oct674040040
9263034213
10116408352
115a789355
1232b99b40
131b16a1a8
1411662c24
15a34656c
hex6f04020

116408352 has 96 divisors (see below), whose sum is σ = 315487872. Its totient is φ = 37566464.

The previous prime is 116408339. The next prime is 116408377. The reversal of 116408352 is 253804611.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696973 + ... + 697139.

It is an arithmetic number, because the mean of its divisors is an integer number (3286332).

Almost surely, 2116408352 is an apocalyptic number.

116408352 is a gapful number since it is divisible by the number (12) 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 116408352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157743936).

116408352 is an abundant number, since it is smaller than the sum of its proper divisors (199079520).

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

116408352 is a wasteful number, since it uses less digits than its factorization.

116408352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 116408352 is about 10789.2702255528. The cubic root of 116408352 is about 488.2715052812.

The spelling of 116408352 in words is "one hundred sixteen million, four hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 137 159 167 212 274 318 334 411 424 501 548 636 668 822 848 1002 1096 1272 1336 1644 1696 2004 2192 2544 2672 3288 4008 4384 5088 5344 6576 7261 8016 8851 13152 14522 16032 17702 21783 22879 26553 29044 35404 43566 45758 53106 58088 68637 70808 87132 91516 106212 116176 137274 141616 174264 183032 212424 232352 274548 283232 348528 366064 424848 549096 697056 732128 849696 1098192 1212587 2196384 2425174 3637761 4850348 7275522 9700696 14551044 19401392 29102088 38802784 58204176 116408352