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117968700 = 223521732273
BaseRepresentation
bin1110000100000…
…00111100111100
322012222102122010
413002000330330
5220144444300
615412251220
72631501033
oct702007474
9265872563
10117968700
11606546a3
1233610b10
131b595485
141194b71a
15a553a50
hex7080f3c

117968700 has 72 divisors (see below), whose sum is σ = 343446768. Its totient is φ = 31262720.

The previous prime is 117968689. The next prime is 117968713. The reversal of 117968700 is 7869711.

It is a super-2 number, since 2×1179687002 = 27833228359380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50764 + ... + 53036.

It is an arithmetic number, because the mean of its divisors is an integer number (4770094).

Almost surely, 2117968700 is an apocalyptic number.

117968700 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 117968700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171723384).

117968700 is an abundant number, since it is smaller than the sum of its proper divisors (225478068).

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

117968700 is a wasteful number, since it uses less digits than its factorization.

117968700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 117968700 is about 10861.3396963726. The cubic root of 117968700 is about 490.4434414155.

The spelling of 117968700 in words is "one hundred seventeen million, nine hundred sixty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 519 692 865 1038 1730 2076 2273 2595 3460 4325 4546 5190 6819 8650 9092 10380 11365 12975 13638 17300 22730 25950 27276 34095 45460 51900 56825 68190 113650 136380 170475 227300 340950 393229 681900 786458 1179687 1572916 1966145 2359374 3932290 4718748 5898435 7864580 9830725 11796870 19661450 23593740 29492175 39322900 58984350 117968700