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117858720 = 2535725011
BaseRepresentation
bin1110000011001…
…10000110100000
322012202211202210
413001212012200
5220132434340
615410042120
72630532300
oct701460640
9265684683
10117858720
116058a001
1233579340
131b5573b5
141191d600
15a531180
hex70661a0

117858720 has 144 divisors (see below), whose sum is σ = 431954208. Its totient is φ = 26933760.

The previous prime is 117858709. The next prime is 117858749. The reversal of 117858720 is 27858711.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21015 + ... + 26025.

It is an arithmetic number, because the mean of its divisors is an integer number (2999682).

Almost surely, 2117858720 is an apocalyptic number.

117858720 is a gapful number since it is divisible by the number (10) 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 117858720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215977104).

117858720 is an abundant number, since it is smaller than the sum of its proper divisors (314095488).

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

117858720 is a wasteful number, since it uses less digits than its factorization.

117858720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 39.

The square root of 117858720 is about 10856.2756044603. The cubic root of 117858720 is about 490.2909836295.

Subtracting from 117858720 its reverse (27858711), we obtain a palindrome (90000009).

The spelling of 117858720 in words is "one hundred seventeen million, eight hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5011 5880 7840 10022 11760 15033 20044 23520 25055 30066 35077 40088 50110 60132 70154 75165 80176 100220 105231 120264 140308 150330 160352 175385 200440 210462 240528 245539 280616 300660 350770 400880 420924 481056 491078 526155 561232 601320 701540 736617 801760 841848 982156 1052310 1122464 1202640 1227695 1403080 1473234 1683696 1964312 2104620 2405280 2455390 2806160 2946468 3367392 3683085 3928624 4209240 4910780 5612320 5892936 7366170 7857248 8418480 9821560 11785872 14732340 16836960 19643120 23571744 29464680 39286240 58929360 117858720