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117311712 = 2537174571
BaseRepresentation
bin1101111111000…
…00100011100000
322011202001102020
412333200203200
5220012433322
615350221440
72623063440
oct677404340
9264661366
10117311712
1160246031
1233354880
131b3c541b
141181a120
15a47405c
hex6fe08e0

117311712 has 48 divisors (see below), whose sum is σ = 351937152. Its totient is φ = 33517440.

The previous prime is 117311693. The next prime is 117311717. The reversal of 117311712 is 217113711.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117311717) 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 7 ways as a sum of consecutive naturals, for example, 86614 + ... + 87957.

It is an arithmetic number, because the mean of its divisors is an integer number (7332024).

Almost surely, 2117311712 is an apocalyptic number.

117311712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117311712 is an abundant number, since it is smaller than the sum of its proper divisors (234625440).

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

117311712 is a wasteful number, since it uses less digits than its factorization.

117311712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174591 (or 174583 counting only the distinct ones).

The product of its digits is 294, while the sum is 24.

The square root of 117311712 is about 10831.0531343909. The cubic root of 117311712 is about 489.5312913535.

The spelling of 117311712 in words is "one hundred seventeen million, three hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 174571 349142 523713 698284 1047426 1221997 1396568 2094852 2443994 2793136 3665991 4189704 4887988 5586272 7331982 8379408 9775976 14663964 16758816 19551952 29327928 39103904 58655856 117311712