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114656160 = 25351714051
BaseRepresentation
bin1101101010110…
…00001110100000
321222202010200110
412311120032200
5213322444120
615213251320
72561363343
oct665301640
9258663613
10114656160
11597a1963
1232493b40
131a9a57a8
141132845a
15a0ec2e0
hex6d583a0

114656160 has 96 divisors (see below), whose sum is σ = 382439232. Its totient is φ = 28774400.

The previous prime is 114656159. The next prime is 114656161. The reversal of 114656160 is 61656411.

It is an interprime number because it is at equal distance from previous prime (114656159) and next prime (114656161).

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 not an unprimeable number, because it can be changed into a prime (114656161) 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, 1135 + ... + 15185.

It is an arithmetic number, because the mean of its divisors is an integer number (3983742).

Almost surely, 2114656160 is an apocalyptic number.

114656160 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 114656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191219616).

114656160 is an abundant number, since it is smaller than the sum of its proper divisors (267783072).

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

114656160 is a wasteful number, since it uses less digits than its factorization.

114656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14086 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 114656160 is about 10707.7616708629. The cubic root of 114656160 is about 485.8092699395.

The spelling of 114656160 in words is "one hundred fourteen million, six hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 14051 28102 42153 56204 70255 84306 112408 140510 168612 210765 224816 238867 281020 337224 421530 449632 477734 562040 674448 716601 843060 955468 1124080 1194335 1348896 1433202 1686120 1910936 2248160 2388670 2866404 3372240 3583005 3821872 4777340 5732808 6744480 7166010 7643744 9554680 11465616 14332020 19109360 22931232 28664040 38218720 57328080 114656160