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10904064 = 29331229
BaseRepresentation
bin101001100110…
…001000000000
3202111222120020
4221212020000
510242412224
61025413440
7161453163
oct51461000
922458506
1010904064
116178426
12379a280
13234a212
14163bada
15e55c79
hexa66200

10904064 has 80 divisors (see below), whose sum is σ = 30117120. Its totient is φ = 3502080.

The previous prime is 10904063. The next prime is 10904071. The reversal of 10904064 is 46040901.

It is a super-2 number, since 2×109040642 = 237797223432192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10904063) 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 7 ways as a sum of consecutive naturals, for example, 47502 + ... + 47730.

It is an arithmetic number, because the mean of its divisors is an integer number (376464).

Almost surely, 210904064 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 10904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058560).

10904064 is an abundant number, since it is smaller than the sum of its proper divisors (19213056).

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

10904064 is an equidigital number, since it uses as much as digits as its factorization.

10904064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10904064 is about 3302.1302215388. The cubic root of 10904064 is about 221.7495755841.

Adding to 10904064 its reverse (46040901), we get a palindrome (56944965).

The spelling of 10904064 in words is "ten million, nine hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 229 248 256 372 384 458 496 512 687 744 768 916 992 1374 1488 1536 1832 1984 2748 2976 3664 3968 5496 5952 7099 7328 7936 10992 11904 14198 14656 15872 21297 21984 23808 28396 29312 42594 43968 47616 56792 58624 85188 87936 113584 117248 170376 175872 227168 340752 351744 454336 681504 908672 1363008 1817344 2726016 3634688 5452032 10904064