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117690400 = 25521311123
BaseRepresentation
bin1110000001111…
…01000000100000
322012110021212201
413000331000200
5220112043100
615402302544
72626231462
oct700750040
9265407781
10117690400
11604845a3
12334b7a54
131b4c88b9
14118b8132
15a4eb36a
hex703d020

117690400 has 72 divisors (see below), whose sum is σ = 289762704. Its totient is φ = 46675200.

The previous prime is 117690373. The next prime is 117690403. The reversal of 117690400 is 4096711.

It is not an unprimeable number, because it can be changed into a prime (117690403) 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, 104239 + ... + 105361.

It is an arithmetic number, because the mean of its divisors is an integer number (4024482).

Almost surely, 2117690400 is an apocalyptic number.

117690400 is a gapful number since it is divisible by the number (10) 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 117690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144881352).

117690400 is an abundant number, since it is smaller than the sum of its proper divisors (172072304).

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

117690400 is a wasteful number, since it uses less digits than its factorization.

117690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 117690400 is about 10848.5206364739. The cubic root of 117690400 is about 490.0574693111.

The spelling of 117690400 in words is "one hundred seventeen million, six hundred ninety thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 131 160 200 262 400 524 655 800 1048 1123 1310 2096 2246 2620 3275 4192 4492 5240 5615 6550 8984 10480 11230 13100 17968 20960 22460 26200 28075 35936 44920 52400 56150 89840 104800 112300 147113 179680 224600 294226 449200 588452 735565 898400 1176904 1471130 2353808 2942260 3677825 4707616 5884520 7355650 11769040 14711300 23538080 29422600 58845200 117690400