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117961320 = 23351815431
BaseRepresentation
bin1110000011111…
…11001001101000
322012222001111210
413001333021220
5220144230240
615412153120
72631440361
oct701771150
9265861453
10117961320
116064a0a4
12336087a0
131b591cc9
1411948b68
15a551780
hex707f268

117961320 has 64 divisors (see below), whose sum is σ = 355904640. Its totient is φ = 31276800.

The previous prime is 117961309. The next prime is 117961331. The reversal of 117961320 is 23169711.

It is a Cunningham number, because it is equal to 108612-1.

It is an interprime number because it is at equal distance from previous prime (117961309) and next prime (117961331).

It is a super-2 number, since 2×1179613202 = 27829746032284800, which contains 22 as substring.

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, 19005 + ... + 24435.

It is an arithmetic number, because the mean of its divisors is an integer number (5561010).

Almost surely, 2117961320 is an apocalyptic number.

117961320 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 117961320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177952320).

117961320 is an abundant number, since it is smaller than the sum of its proper divisors (237943320).

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

117961320 is a wasteful number, since it uses less digits than its factorization.

117961320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 117961320 is about 10860.9999539637. Note that the first 4 decimals coincide. The cubic root of 117961320 is about 490.4332139905.

The spelling of 117961320 in words is "one hundred seventeen million, nine hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 4344 5430 5431 7240 10860 10862 16293 21720 21724 27155 32586 43448 54310 65172 81465 108620 130344 162930 217240 325860 651720 983011 1966022 2949033 3932044 4915055 5898066 7864088 9830110 11796132 14745165 19660220 23592264 29490330 39320440 58980660 117961320