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117726880 = 2552331991
BaseRepresentation
bin1110000010001…
…01111010100000
322012112010220211
413001011322200
5220114230010
615403143504
72626443025
oct701057240
9265463824
10117726880
11604a9a47
1233514b94
131b50c39b
14118c754c
15a50708a
hex7045ea0

117726880 has 48 divisors (see below), whose sum is σ = 290231424. Its totient is φ = 45041920.

The previous prime is 117726877. The next prime is 117726883. The reversal of 117726880 is 88627711.

It is an interprime number because it is at equal distance from previous prime (117726877) and next prime (117726883).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (117726883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12316 + ... + 19675.

It is an arithmetic number, because the mean of its divisors is an integer number (6046488).

Almost surely, 2117726880 is an apocalyptic number.

117726880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117726880 is an abundant number, since it is smaller than the sum of its proper divisors (172504544).

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

117726880 is a wasteful number, since it uses less digits than its factorization.

117726880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32029 (or 32021 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 40.

The square root of 117726880 is about 10850.2018414406. The cubic root of 117726880 is about 490.1080977670.

Subtracting from 117726880 its sum of digits (40), we obtain a triangular number (117726840 = T15344).

The spelling of 117726880 in words is "one hundred seventeen million, seven hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 31991 63982 127964 159955 255928 319910 511856 639820 735793 1023712 1279640 1471586 2559280 2943172 3678965 5118560 5886344 7357930 11772688 14715860 23545376 29431720 58863440 117726880