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10339164 = 223511967
BaseRepresentation
bin100111011100…
…001101011100
3201110021200000
4213130031130
510121323124
61005334300
7153611223
oct47341534
921407600
1010339164
115921a70
123567390
1321b0064
141531cba
15d936c9
hex9dc35c

10339164 has 72 divisors (see below), whose sum is σ = 29597568. Its totient is φ = 3129840.

The previous prime is 10339163. The next prime is 10339171. The reversal of 10339164 is 46193301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10339163) 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 23 ways as a sum of consecutive naturals, for example, 10209 + ... + 11175.

Almost surely, 210339164 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 10339164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798784).

10339164 is an abundant number, since it is smaller than the sum of its proper divisors (19258404).

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

10339164 is a wasteful number, since it uses less digits than its factorization.

10339164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 10339164 is about 3215.4570437187. The cubic root of 10339164 is about 217.8521287696.

The spelling of 10339164 in words is "ten million, three hundred thirty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 967 972 1188 1782 1934 2673 2901 3564 3868 5346 5802 8703 10637 10692 11604 17406 21274 26109 31911 34812 42548 52218 63822 78327 95733 104436 127644 156654 191466 234981 287199 313308 382932 469962 574398 861597 939924 1148796 1723194 2584791 3446388 5169582 10339164