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117956320 = 2557310099
BaseRepresentation
bin1110000011111…
…01111011100000
322012221210122121
413001331323200
5220144100240
615412114024
72631416656
oct701757340
9265853577
10117956320
1160646369
1233605914
131b58c951
1411946dd6
15a55004a
hex707dee0

117956320 has 48 divisors (see below), whose sum is σ = 282517200. Its totient is φ = 46531584.

The previous prime is 117956287. The next prime is 117956327. The reversal of 117956320 is 23659711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117956327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6631 + ... + 16729.

It is an arithmetic number, because the mean of its divisors is an integer number (5885775).

Almost surely, 2117956320 is an apocalyptic number.

117956320 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 117956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141258600).

117956320 is an abundant number, since it is smaller than the sum of its proper divisors (164560880).

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

117956320 is a wasteful number, since it uses less digits than its factorization.

117956320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10187 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 117956320 is about 10860.7697701406. The cubic root of 117956320 is about 490.4262845984.

The spelling of 117956320 in words is "one hundred seventeen million, nine hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 10099 11680 20198 40396 50495 80792 100990 161584 201980 323168 403960 737227 807920 1474454 1615840 2948908 3686135 5897816 7372270 11795632 14744540 23591264 29489080 58978160 117956320