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114263240 = 23571331391
BaseRepresentation
bin1101100111110…
…00010011001000
321222000011200212
412303320103020
5213222410430
615201020252
72555135660
oct663702310
9258004625
10114263240
1159553733
1232324688
131a8989b0
14112651a0
15a070b95
hex6cf84c8

114263240 has 64 divisors (see below), whose sum is σ = 316431360. Its totient is φ = 36161280.

The previous prime is 114263221. The next prime is 114263257. The reversal of 114263240 is 42362411.

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 15 ways as a sum of consecutive naturals, for example, 12056 + ... + 19335.

It is an arithmetic number, because the mean of its divisors is an integer number (4944240).

Almost surely, 2114263240 is an apocalyptic number.

114263240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114263240 is an abundant number, since it is smaller than the sum of its proper divisors (202168120).

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

114263240 is a wasteful number, since it uses less digits than its factorization.

114263240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31422 (or 31418 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 114263240 is about 10689.3984863509. The cubic root of 114263240 is about 485.2536880905.

The spelling of 114263240 in words is "one hundred fourteen million, two hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 31391 62782 125564 156955 219737 251128 313910 408083 439474 627820 816166 878948 1098685 1255640 1632332 1757896 2040415 2197370 2856581 3264664 4080830 4394740 5713162 8161660 8789480 11426324 14282905 16323320 22852648 28565810 57131620 114263240