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10206664 = 23131723251
BaseRepresentation
bin100110111011…
…110111001000
3201012112220121
4212323313020
510103103124
61002433024
7152520016
oct46736710
921175817
1010206664
115841466
123502774
132164960
1414d98b6
15d692e4
hex9bbdc8

10206664 has 64 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 4224000.

The previous prime is 10206659. The next prime is 10206671. The reversal of 10206664 is 46660201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40539 + ... + 40789.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 210206664 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 10206664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

10206664 is an abundant number, since it is smaller than the sum of its proper divisors (12654776).

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

10206664 is a wasteful number, since it uses less digits than its factorization.

10206664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 10206664 is about 3194.7870038549. The cubic root of 10206664 is about 216.9175077727.

Adding to 10206664 its reverse (46660201), we get a palindrome (56866865).

The spelling of 10206664 in words is "ten million, two hundred six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 251 299 391 442 502 598 782 884 1004 1196 1564 1768 2008 2392 3128 3263 4267 5083 5773 6526 8534 10166 11546 13052 17068 20332 23092 26104 34136 40664 46184 55471 75049 98141 110942 150098 196282 221884 300196 392564 443768 600392 785128 1275833 2551666 5103332 10206664