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114943504 = 24132412293
BaseRepresentation
bin1101101100111…
…10011000010000
322000021201211211
412312132120100
5213411143004
615223345504
72564001154
oct666363020
9260251754
10114943504
1159978835
12325b2294
131aa76510
14113a1064
15a157504
hex6d9e610

114943504 has 40 divisors (see below), whose sum is σ = 240934232. Its totient is φ = 52807680.

The previous prime is 114943481. The next prime is 114943513. The reversal of 114943504 is 405349411.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 109411600 = 2352^2 + 10460^2 .

It is a super-2 number, since 2×1149435042 = 26424018223596032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48982 + ... + 51274.

Almost surely, 2114943504 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 114943504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120467116).

114943504 is an abundant number, since it is smaller than the sum of its proper divisors (125990728).

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

114943504 is a wasteful number, since it uses less digits than its factorization.

114943504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 114943504 is about 10721.1708315836. The cubic root of 114943504 is about 486.2147661837.

The spelling of 114943504 in words is "one hundred fourteen million, nine hundred forty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 241 482 964 1928 2293 3133 3856 4586 6266 9172 12532 18344 25064 29809 36688 50128 59618 119236 238472 476944 552613 1105226 2210452 4420904 7183969 8841808 14367938 28735876 57471752 114943504