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117704664 = 23347211337
BaseRepresentation
bin1110000010000…
…00011111011000
322012111000110000
413001000133120
5220113022124
615402453000
72626321200
oct701003730
9265430400
10117704664
1160494290
1233504160
131b50223c
14118bd400
15a5006c9
hex70407d8

117704664 has 240 divisors, whose sum is σ = 419613480. Its totient is φ = 30481920.

The previous prime is 117704647. The next prime is 117704681. The reversal of 117704664 is 466407711.

It is an interprime number because it is at equal distance from previous prime (117704647) and next prime (117704681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 349104 + ... + 349440.

Almost surely, 2117704664 is an apocalyptic number.

117704664 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 117704664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209806740).

117704664 is an abundant number, since it is smaller than the sum of its proper divisors (301908816).

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

117704664 is a wasteful number, since it uses less digits than its factorization.

117704664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 117704664 is about 10849.1780333811. The cubic root of 117704664 is about 490.0772667270.

The spelling of 117704664 in words is "one hundred seventeen million, seven hundred four thousand, six hundred sixty-four".