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117314640 = 24325162937
BaseRepresentation
bin1101111111000…
…01010001010000
322011202012102200
412333201101100
5220013032030
615350243200
72623105122
oct677412120
9264665380
10117314640
1160248253
1233356500
131b3c6861
141181b212
15a474d60
hex6fe1450

117314640 has 60 divisors (see below), whose sum is σ = 393984084. Its totient is φ = 31283712.

The previous prime is 117314627. The next prime is 117314641. The reversal of 117314640 is 46413711.

It is a happy number.

117314640 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 14 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31270464 + 86044176 = 5592^2 + 9276^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117314641) 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 11 ways as a sum of consecutive naturals, for example, 80749 + ... + 82188.

Almost surely, 2117314640 is an apocalyptic number.

117314640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117314640 is an abundant number, since it is smaller than the sum of its proper divisors (276669444).

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

117314640 is a wasteful number, since it uses less digits than its factorization.

117314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162956 (or 162947 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 117314640 is about 10831.1883004590. The cubic root of 117314640 is about 489.5353640804.

The spelling of 117314640 in words is "one hundred seventeen million, three hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 162937 325874 488811 651748 814685 977622 1303496 1466433 1629370 1955244 2444055 2606992 2932866 3258740 3910488 4888110 5865732 6517480 7332165 7820976 9776220 11731464 13034960 14664330 19552440 23462928 29328660 39104880 58657320 117314640