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114934680 = 23335723661
BaseRepresentation
bin1101101100111…
…00001110011000
322000021021202000
412312130032120
5213410402210
615223241000
72563633350
oct666341630
9260237660
10114934680
1159972143
12325a9160
131aa724b3
141139bb60
15a154ac0
hex6d9c398

114934680 has 256 divisors, whose sum is σ = 457574400. Its totient is φ = 25090560.

The previous prime is 114934669. The next prime is 114934709. The reversal of 114934680 is 86439411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173550 + ... + 174210.

It is an arithmetic number, because the mean of its divisors is an integer number (1787400).

Almost surely, 2114934680 is an apocalyptic number.

114934680 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 114934680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228787200).

114934680 is an abundant number, since it is smaller than the sum of its proper divisors (342639720).

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

114934680 is a wasteful number, since it uses less digits than its factorization.

114934680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 114934680 is about 10720.7593014674. The cubic root of 114934680 is about 486.2023239295.

The spelling of 114934680 in words is "one hundred fourteen million, nine hundred thirty-four thousand, six hundred eighty".