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9140256 = 253371149
BaseRepresentation
bin100010110111…
…100000100000
3122012101002000
4202313200200
54314442011
6523524000
7140455656
oct42674040
918171060
109140256
115183234
123089600
131b80448
1412dcdd6
15c08356
hex8b7820

9140256 has 96 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 2983680.

The previous prime is 9140239. The next prime is 9140267. The reversal of 9140256 is 6520419.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 61270 + ... + 61418.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 29140256 is an apocalyptic number.

9140256 is a gapful number since it is divisible by the number (96) 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 9140256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

9140256 is an abundant number, since it is smaller than the sum of its proper divisors (18075744).

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

9140256 is a wasteful number, since it uses less digits than its factorization.

9140256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9140256 is about 3023.2856299066. The cubic root of 9140256 is about 209.0833515972.

The spelling of 9140256 in words is "nine million, one hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 149 213 216 284 288 298 426 432 447 568 596 639 852 864 894 1136 1192 1278 1341 1704 1788 1917 2272 2384 2556 2682 3408 3576 3834 4023 4768 5112 5364 6816 7152 7668 8046 10224 10579 10728 14304 15336 16092 20448 21158 21456 30672 31737 32184 42316 42912 61344 63474 64368 84632 95211 126948 128736 169264 190422 253896 285633 338528 380844 507792 571266 761688 1015584 1142532 1523376 2285064 3046752 4570128 9140256