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114260376 = 233191271973
BaseRepresentation
bin1101100111101…
…11100110011000
321222000000202210
412303313212120
5213222313001
615200555120
72555124426
oct663674630
9258000683
10114260376
115955156a
1232322aa0
131a8975b9
1411264116
15a06edd6
hex6cf7998

114260376 has 64 divisors (see below), whose sum is σ = 303206400. Its totient is φ = 35779968.

The previous prime is 114260369. The next prime is 114260387. The reversal of 114260376 is 673062411.

It is a super-2 number, since 2×1142603762 = 26110867047322752, which contains 22 as substring.

It is a congruent number.

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, 56926 + ... + 58898.

It is an arithmetic number, because the mean of its divisors is an integer number (4737600).

Almost surely, 2114260376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114260376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151603200).

114260376 is an abundant number, since it is smaller than the sum of its proper divisors (188946024).

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

114260376 is a wasteful number, since it uses less digits than its factorization.

114260376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 114260376 is about 10689.2645210042. The cubic root of 114260376 is about 485.2496337736.

The spelling of 114260376 in words is "one hundred fourteen million, two hundred sixty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 254 381 456 508 762 1016 1524 1973 2413 3048 3946 4826 5919 7239 7892 9652 11838 14478 15784 19304 23676 28956 37487 47352 57912 74974 112461 149948 224922 250571 299896 449844 501142 751713 899688 1002284 1503426 2004568 3006852 4760849 6013704 9521698 14282547 19043396 28565094 38086792 57130188 114260376