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117312720 = 2435769829
BaseRepresentation
bin1101111111000…
…00110011010000
322011202002210120
412333200303100
5220013001340
615350230240
72623066410
oct677406320
9264662716
10117312720
1160246868
1233355380
131b3c5a15
141181a640
15a4744d0
hex6fe0cd0

117312720 has 80 divisors (see below), whose sum is σ = 415628160. Its totient is φ = 26813952.

The previous prime is 117312683. The next prime is 117312721. The reversal of 117312720 is 27213711.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117312721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33235 + ... + 36594.

It is an arithmetic number, because the mean of its divisors is an integer number (5195352).

Almost surely, 2117312720 is an apocalyptic number.

117312720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117312720 is an abundant number, since it is smaller than the sum of its proper divisors (298315440).

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

117312720 is a wasteful number, since it uses less digits than its factorization.

117312720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69852 (or 69846 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 117312720 is about 10831.0996671621. The cubic root of 117312720 is about 489.5326934474.

Subtracting from 117312720 its reverse (27213711), we obtain a palindrome (90099009).

The spelling of 117312720 in words is "one hundred seventeen million, three hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 69829 139658 209487 279316 349145 418974 488803 558632 698290 837948 977606 1047435 1117264 1396580 1466409 1675896 1955212 2094870 2444015 2793160 2932818 3351792 3910424 4189740 4888030 5586320 5865636 7332045 7820848 8379480 9776060 11731272 14664090 16758960 19552120 23462544 29328180 39104240 58656360 117312720