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12898368 = 263272457
BaseRepresentation
bin110001001101…
…000001000000
3220021022020100
4301031001000
511300221433
61140242400
7214430400
oct61150100
926238210
1012898368
11730a80a
1243a0400
132897b92
1419da800
1511ebb13
hexc4d040

12898368 has 126 divisors (see below), whose sum is σ = 43101006. Its totient is φ = 3677184.

The previous prime is 12898363. The next prime is 12898373. The reversal of 12898368 is 86389821.

12898368 is a `hidden beast` number, since 1 + 289 + 8 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (12898363) and next prime (12898373).

It can be written as a sum of positive squares in only one way, i.e., 12446784 + 451584 = 3528^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12898363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27996 + ... + 28452.

Almost surely, 212898368 is an apocalyptic number.

12898368 is a gapful number since it is divisible by the number (18) 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 12898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21550503).

12898368 is an abundant number, since it is smaller than the sum of its proper divisors (30202638).

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

12898368 is a wasteful number, since it uses less digits than its factorization.

12898368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 12898368 is about 3591.4297988406. The cubic root of 12898368 is about 234.5191192550.

The spelling of 12898368 in words is "twelve million, eight hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 457 504 576 588 672 784 882 914 1008 1176 1344 1371 1568 1764 1828 2016 2352 2742 3136 3199 3528 3656 4032 4113 4704 5484 6398 7056 7312 8226 9408 9597 10968 12796 14112 14624 16452 19194 21936 22393 25592 28224 28791 29248 32904 38388 43872 44786 51184 57582 65808 67179 76776 87744 89572 102368 115164 131616 134358 153552 179144 201537 204736 230328 263232 268716 307104 358288 403074 460656 537432 614208 716576 806148 921312 1074864 1433152 1612296 1842624 2149728 3224592 4299456 6449184 12898368