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10333664 = 251131947
BaseRepresentation
bin100111011010…
…110111100000
3201110000010022
4213122313200
510121134124
61005253012
7153556205
oct47326740
921400108
1010333664
115918920
123564168
1321aa6c3
14152dcac
15d91c5e
hex9dade0

10333664 has 48 divisors (see below), whose sum is σ = 22934016. Its totient is φ = 4540800.

The previous prime is 10333651. The next prime is 10333667. The reversal of 10333664 is 46633301.

It is a super-2 number, since 2×103336642 = 213569223329792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333667) 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 7 ways as a sum of consecutive naturals, for example, 10439 + ... + 11385.

It is an arithmetic number, because the mean of its divisors is an integer number (477792).

Almost surely, 210333664 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 10333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11467008).

10333664 is an abundant number, since it is smaller than the sum of its proper divisors (12600352).

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

10333664 is a wasteful number, since it uses less digits than its factorization.

10333664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 10333664 is about 3214.6016860569. The cubic root of 10333664 is about 217.8134925306.

Adding to 10333664 its reverse (46633301), we get a palindrome (56966965).

The spelling of 10333664 in words is "ten million, three hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 947 992 1364 1894 2728 3788 5456 7576 10417 10912 15152 20834 29357 30304 41668 58714 83336 117428 166672 234856 322927 333344 469712 645854 939424 1291708 2583416 5166832 10333664