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117109920 = 25351912841
BaseRepresentation
bin1101111101011…
…11010010100000
322011100210121110
412332233102200
5214440004140
615342023320
72621263224
oct676572240
9264323543
10117109920
1160118464
1233277b40
131b354615
14117a6784
15a434380
hex6faf4a0

117109920 has 96 divisors (see below), whose sum is σ = 388342080. Its totient is φ = 29583360.

The previous prime is 117109877. The next prime is 117109933. The reversal of 117109920 is 29901711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2700 + ... + 15540.

It is an arithmetic number, because the mean of its divisors is an integer number (4045230).

Almost surely, 2117109920 is an apocalyptic number.

117109920 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 117109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194171040).

117109920 is an abundant number, since it is smaller than the sum of its proper divisors (271232160).

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

117109920 is a wasteful number, since it uses less digits than its factorization.

117109920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12878 (or 12870 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 117109920 is about 10821.7336873534. The cubic root of 117109920 is about 489.2504435985.

The spelling of 117109920 in words is "one hundred seventeen million, one hundred nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 12841 25682 38523 51364 64205 77046 102728 128410 154092 192615 205456 243979 256820 308184 385230 410912 487958 513640 616368 731937 770460 975916 1027280 1219895 1232736 1463874 1540920 1951832 2054560 2439790 2927748 3081840 3659685 3903664 4879580 5855496 6163680 7319370 7807328 9759160 11710992 14638740 19518320 23421984 29277480 39036640 58554960 117109920