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117640964 = 22722292621
BaseRepresentation
bin1110000001100…
…00111100000100
322012100210001202
413000300330010
5220104002324
615401242032
72625634400
oct700607404
9265323052
10117640964
1160450441
1233493318
131b4ac24c
14118a4100
15a4db8ae
hex7030f04

117640964 has 36 divisors (see below), whose sum is σ = 240620940. Its totient is φ = 50178240.

The previous prime is 117640961. The next prime is 117640967. The reversal of 117640964 is 469046711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117640961) and next prime (117640967).

It can be written as a sum of positive squares in 2 ways, for example, as 103876864 + 13764100 = 10192^2 + 3710^2 .

It is not an unprimeable number, because it can be changed into a prime (117640961) 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, 43574 + ... + 46194.

It is an arithmetic number, because the mean of its divisors is an integer number (6683915).

Almost surely, 2117640964 is an apocalyptic number.

117640964 is a gapful number since it is divisible by the number (14) 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 117640964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120310470).

117640964 is an abundant number, since it is smaller than the sum of its proper divisors (122979976).

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

117640964 is a wasteful number, since it uses less digits than its factorization.

117640964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 117640964 is about 10846.2419298114. The cubic root of 117640964 is about 489.9888432834.

The spelling of 117640964 in words is "one hundred seventeen million, six hundred forty thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 229 458 916 1603 2621 3206 5242 6412 10484 11221 18347 22442 36694 44884 73388 128429 256858 513716 600209 1200418 2400836 4201463 8402926 16805852 29410241 58820482 117640964