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10426896 = 24321937103
BaseRepresentation
bin100111110001…
…101000010000
3201121202000100
4213301220100
510132130041
61011252400
7154425054
oct47615020
921552010
1010426896
115981977
1235aa100
132210c7c
141555c64
15dae6b6
hex9f1a10

10426896 has 120 divisors (see below), whose sum is σ = 31853120. Its totient is φ = 3172608.

The previous prime is 10426879. The next prime is 10426901. The reversal of 10426896 is 69862401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10426896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101181 + ... + 101283.

Almost surely, 210426896 is an apocalyptic number.

10426896 is a gapful number since it is divisible by the number (16) 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 10426896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15926560).

10426896 is an abundant number, since it is smaller than the sum of its proper divisors (21426224).

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

10426896 is a wasteful number, since it uses less digits than its factorization.

10426896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10426896 is about 3229.0704544807. The cubic root of 10426896 is about 218.4665819618.

It can be divided in two parts, 104 and 26896, that added together give a cube (27000 = 303).

The spelling of 10426896 in words is "ten million, four hundred twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 37 38 48 57 72 74 76 103 111 114 144 148 152 171 206 222 228 296 304 309 333 342 412 444 456 592 618 666 684 703 824 888 912 927 1236 1332 1368 1406 1648 1776 1854 1957 2109 2472 2664 2736 2812 3708 3811 3914 4218 4944 5328 5624 5871 6327 7416 7622 7828 8436 11248 11433 11742 12654 14832 15244 15656 16872 17613 22866 23484 25308 30488 31312 33744 34299 35226 45732 46968 50616 60976 68598 70452 72409 91464 93936 101232 137196 140904 144818 182928 217227 274392 281808 289636 434454 548784 579272 651681 868908 1158544 1303362 1737816 2606724 3475632 5213448 10426896