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117976050 = 23252409641
BaseRepresentation
bin1110000100000…
…10101111110010
322012222210201100
413002002233302
5220200213200
615412345230
72631531333
oct702025762
9265883640
10117976050
116065a175
1233615216
131b59891a
141195028a
15a555d00
hex7082bf2

117976050 has 72 divisors (see below), whose sum is σ = 318232980. Its totient is φ = 31334400.

The previous prime is 117976037. The next prime is 117976057. The reversal of 117976050 is 50679711.

It can be written as a sum of positive squares in 6 ways, for example, as 95707089 + 22268961 = 9783^2 + 4719^2 .

It is a junction number, because it is equal to n+sod(n) for n = 117975996 and 117976014.

It is not an unprimeable number, because it can be changed into a prime (117976057) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 183730 + ... + 184370.

Almost surely, 2117976050 is an apocalyptic number.

117976050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117976050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159116490).

117976050 is an abundant number, since it is smaller than the sum of its proper divisors (200256930).

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

117976050 is a wasteful number, since it uses less digits than its factorization.

117976050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 117976050 is about 10861.6780471528. The cubic root of 117976050 is about 490.4536268416.

The spelling of 117976050 in words is "one hundred seventeen million, nine hundred seventy-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 409 450 641 818 1227 1282 1923 2045 2454 3205 3681 3846 4090 5769 6135 6410 7362 9615 10225 11538 12270 16025 18405 19230 20450 28845 30675 32050 36810 48075 57690 61350 92025 96150 144225 184050 262169 288450 524338 786507 1310845 1573014 2359521 2621690 3932535 4719042 6554225 7865070 11797605 13108450 19662675 23595210 39325350 58988025 117976050