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10664388 = 22327101419
BaseRepresentation
bin101000101011…
…100111000100
3202001210210100
4220223213010
510212230023
61020324100
7156434340
oct50534704
922053710
1010664388
116024349
1236a3630
1322950b7
1415b8620
15e09c43
hexa2b9c4

10664388 has 72 divisors (see below), whose sum is σ = 31187520. Its totient is φ = 3009600.

The previous prime is 10664371. The next prime is 10664449. The reversal of 10664388 is 88346601.

It is a happy number.

10664388 is a `hidden beast` number, since 1 + 0 + 6 + 643 + 8 + 8 = 666.

It is a super-2 number, since 2×106643882 = 227458342829088, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 25243 + ... + 25661.

It is an arithmetic number, because the mean of its divisors is an integer number (433160).

Almost surely, 210664388 is an apocalyptic number.

10664388 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 10664388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593760).

10664388 is an abundant number, since it is smaller than the sum of its proper divisors (20523132).

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

10664388 is a wasteful number, since it uses less digits than its factorization.

10664388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10664388 is about 3265.6374569140. The cubic root of 10664388 is about 220.1128071609.

The spelling of 10664388 in words is "ten million, six hundred sixty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 419 606 707 838 909 1212 1257 1414 1676 1818 2121 2514 2828 2933 3636 3771 4242 5028 5866 6363 7542 8484 8799 11732 12726 15084 17598 25452 26397 35196 42319 52794 84638 105588 126957 169276 253914 296233 380871 507828 592466 761742 888699 1184932 1523484 1777398 2666097 3554796 5332194 10664388