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117925920 = 25325711699
BaseRepresentation
bin1110000011101…
…10100000100000
322012220020221200
413001312200200
5220142112140
615411321200
72631232230
oct701664040
9265806850
10117925920
1160625542
12335b0200
131b57bb68
1411939cc0
15a546030
hex7076820

117925920 has 144 divisors (see below), whose sum is σ = 459950400. Its totient is φ = 26952192.

The previous prime is 117925897. The next prime is 117925931. The reversal of 117925920 is 29529711.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 4231 + ... + 15929.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2117925920 is an apocalyptic number.

117925920 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 117925920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

117925920 is an abundant number, since it is smaller than the sum of its proper divisors (342024480).

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

117925920 is a wasteful number, since it uses less digits than its factorization.

117925920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11727 (or 11716 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 117925920 is about 10859.3701474809. The cubic root of 117925920 is about 490.3841496793.

The spelling of 117925920 in words is "one hundred seventeen million, nine hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 11699 23398 35097 46796 58495 70194 81893 93592 105291 116990 140388 163786 175485 187184 210582 233980 245679 280776 327572 350970 374368 409465 421164 467960 491358 526455 561552 655144 701940 737037 818930 842328 935920 982716 1052910 1123104 1228395 1310288 1403880 1474074 1637860 1684656 1871840 1965432 2105820 2456790 2620576 2807760 2948148 3275720 3369312 3685185 3930864 4211640 4913580 5615520 5896296 6551440 7370370 7861728 8423280 9827160 11792592 13102880 14740740 16846560 19654320 23585184 29481480 39308640 58962960 117925920