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11426976 = 2532113607
BaseRepresentation
bin101011100101…
…110010100000
3210111112212100
4223211302200
510411130401
61044530400
7166061541
oct53456240
923445770
1011426976
1164a5290
1239b0a00
1324a1232
1417364c8
15100ab86
hexae5ca0

11426976 has 72 divisors (see below), whose sum is σ = 35459424. Its totient is φ = 3461760.

The previous prime is 11426939. The next prime is 11426981. The reversal of 11426976 is 67962411.

It is a tau number, because it is divible by the number of its divisors (72).

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 11426976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1365 + ... + 4971.

It is an arithmetic number, because the mean of its divisors is an integer number (492492).

Almost surely, 211426976 is an apocalyptic number.

11426976 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 11426976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729712).

11426976 is an abundant number, since it is smaller than the sum of its proper divisors (24032448).

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

11426976 is a wasteful number, since it uses less digits than its factorization.

11426976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3623 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 11426976 is about 3380.3810436103. The cubic root of 11426976 is about 225.2390939873.

It can be divided in two parts, 1142 and 6976, that added together give a palindrome (8118).

The spelling of 11426976 in words is "eleven million, four hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3607 7214 10821 14428 21642 28856 32463 39677 43284 57712 64926 79354 86568 115424 119031 129852 158708 173136 238062 259704 317416 346272 357093 476124 519408 634832 714186 952248 1038816 1269664 1428372 1904496 2856744 3808992 5713488 11426976