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117113400 = 23325265063
BaseRepresentation
bin1101111101100…
…00001000111000
322011100222101100
412332300020320
5214440112100
615342051400
72621306325
oct676601070
9264328340
10117113400
1160120038
1233279b60
131b356091
14117a7b4c
15a435400
hex6fb0238

117113400 has 72 divisors (see below), whose sum is σ = 393311880. Its totient is φ = 31229760.

The previous prime is 117113393. The next prime is 117113413. The reversal of 117113400 is 4311711.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30732 + ... + 34331.

It is an arithmetic number, because the mean of its divisors is an integer number (5462665).

Almost surely, 2117113400 is an apocalyptic number.

117113400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117113400 is an abundant number, since it is smaller than the sum of its proper divisors (276198480).

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

117113400 is a wasteful number, since it uses less digits than its factorization.

117113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65085 (or 65073 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 117113400 is about 10821.8944737047. The cubic root of 117113400 is about 489.2552896857.

The spelling of 117113400 in words is "one hundred seventeen million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 65063 130126 195189 260252 325315 390378 520504 585567 650630 780756 975945 1171134 1301260 1561512 1626575 1951890 2342268 2602520 2927835 3253150 3903780 4684536 4879725 5855670 6506300 7807560 9759450 11711340 13012600 14639175 19518900 23422680 29278350 39037800 58556700 117113400