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117838900 = 22521769317
BaseRepresentation
bin1110000011000…
…01010000110100
322012201211120201
413001201100310
5220131321100
615405410244
72630420434
oct701412064
9265654521
10117838900
1160576123
1233569984
131b54b37a
14119162c4
15a52a36a
hex7061434

117838900 has 36 divisors (see below), whose sum is σ = 270756108. Its totient is φ = 44362240.

The previous prime is 117838891. The next prime is 117838907. The reversal of 117838900 is 9838711.

It can be written as a sum of positive squares in 6 ways, for example, as 29584 + 117809316 = 172^2 + 10854^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 117838900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117838907) 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, 32959 + ... + 36358.

It is an arithmetic number, because the mean of its divisors is an integer number (7521003).

Almost surely, 2117838900 is an apocalyptic number.

117838900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117838900 is an abundant number, since it is smaller than the sum of its proper divisors (152917208).

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

117838900 is a wasteful number, since it uses less digits than its factorization.

117838900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69348 (or 69341 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 117838900 is about 10855.3627300058. The cubic root of 117838900 is about 490.2634984278.

The spelling of 117838900 in words is "one hundred seventeen million, eight hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 69317 138634 277268 346585 693170 1178389 1386340 1732925 2356778 3465850 4713556 5891945 6931700 11783890 23567780 29459725 58919450 117838900