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114179056 = 2419379991
BaseRepresentation
bin1101100111000…
…11101111110000
321221211220012221
412303203233300
5213212212211
615155130424
72554335355
oct663435760
9257756187
10114179056
11594a6462
12322a3a14
131a869594
141124262c
15a055c71
hex6ce3bf0

114179056 has 40 divisors (see below), whose sum is σ = 233715200. Its totient is φ = 53887680.

The previous prime is 114179053. The next prime is 114179099. The reversal of 114179056 is 650971411.

It is a super-2 number, since 2×1141790562 = 26073713658102272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114179053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114721 + ... + 115711.

It is an arithmetic number, because the mean of its divisors is an integer number (5842880).

Almost surely, 2114179056 is an apocalyptic number.

114179056 is a gapful number since it is divisible by the number (16) 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 114179056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116857600).

114179056 is an abundant number, since it is smaller than the sum of its proper divisors (119536144).

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

114179056 is a wasteful number, since it uses less digits than its factorization.

114179056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 114179056 is about 10685.4600275327. The cubic root of 114179056 is about 485.1344878039.

The spelling of 114179056 in words is "one hundred fourteen million, one hundred seventy-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 379 758 991 1516 1982 3032 3964 6064 7201 7928 14402 15856 18829 28804 37658 57608 75316 115216 150632 301264 375589 751178 1502356 3004712 6009424 7136191 14272382 28544764 57089528 114179056