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114680560 = 24513910313
BaseRepresentation
bin1101101010111…
…10001011110000
321222210101011011
412311132023300
5213324234220
615214000304
72561524441
oct665361360
9258711134
10114680560
1159809225
12324a6094
131a9b3927
14113332c8
15a10465a
hex6d5e2f0

114680560 has 40 divisors (see below), whose sum is σ = 268576560. Its totient is φ = 45537792.

The previous prime is 114680543. The next prime is 114680593. The reversal of 114680560 is 65086411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5964 + ... + 16276.

It is an arithmetic number, because the mean of its divisors is an integer number (6714414).

Almost surely, 2114680560 is an apocalyptic number.

114680560 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 114680560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134288280).

114680560 is an abundant number, since it is smaller than the sum of its proper divisors (153896000).

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

114680560 is a wasteful number, since it uses less digits than its factorization.

114680560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465 (or 10459 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 114680560 is about 10708.9009706879. The cubic root of 114680560 is about 485.8437292173.

The spelling of 114680560 in words is "one hundred fourteen million, six hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 10313 11120 20626 41252 51565 82504 103130 165008 206260 412520 825040 1433507 2867014 5734028 7167535 11468056 14335070 22936112 28670140 57340280 114680560