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117455616 = 283316993
BaseRepresentation
bin1110000000000…
…11101100000000
322012000100211000
413000003230000
5220032034431
615353252000
72624233125
oct700035400
9265010730
10117455616
1160334163
1233404000
131b445a85
141185674c
15a4a19e6
hex7003b00

117455616 has 72 divisors (see below), whose sum is σ = 347357360. Its totient is φ = 39149568.

The previous prime is 117455599. The next prime is 117455617. The reversal of 117455616 is 616554711.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (117455617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1585 + ... + 15408.

Almost surely, 2117455616 is an apocalyptic number.

117455616 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 117455616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173678680).

117455616 is an abundant number, since it is smaller than the sum of its proper divisors (229901744).

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

117455616 is an equidigital number, since it uses as much as digits as its factorization.

117455616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17018 (or 16998 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 117455616 is about 10837.6942197130. The cubic root of 117455616 is about 489.7313757402.

The spelling of 117455616 in words is "one hundred seventeen million, four hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 16993 33986 50979 67972 101958 135944 152937 203916 271888 305874 407832 458811 543776 611748 815664 917622 1087552 1223496 1631328 1835244 2175104 2446992 3262656 3670488 4350208 4893984 6525312 7340976 9787968 13050624 14681952 19575936 29363904 39151872 58727808 117455616