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10189256 = 23721117139
BaseRepresentation
bin100110110111…
…100111001000
3201011200000212
4212313213020
510102024011
61002220252
7152415200
oct46674710
921150025
1010189256
11582a380
1234b4688
132159a5c
1414d3400
15d6408b
hex9b79c8

10189256 has 96 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 3709440.

The previous prime is 10189247. The next prime is 10189259. The reversal of 10189256 is 65298101.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10189259) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73235 + ... + 73373.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 210189256 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 10189256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

10189256 is an abundant number, since it is smaller than the sum of its proper divisors (15665944).

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

10189256 is a wasteful number, since it uses less digits than its factorization.

10189256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 10189256 is about 3192.0614029182. The cubic root of 10189256 is about 216.7941162058.

The spelling of 10189256 in words is "ten million, one hundred eighty-nine thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 49 56 68 77 88 98 119 136 139 154 187 196 238 278 308 374 392 476 539 556 616 748 833 952 973 1078 1112 1309 1496 1529 1666 1946 2156 2363 2618 3058 3332 3892 4312 4726 5236 6116 6664 6811 7784 9163 9452 10472 10703 12232 13622 16541 18326 18904 21406 25993 27244 33082 36652 42812 51986 54488 66164 73304 74921 85624 103972 115787 132328 149842 181951 207944 231574 299684 363902 463148 599368 727804 926296 1273657 1455608 2547314 5094628 10189256