Search a number
-
+
10537164 = 22321124159
BaseRepresentation
bin101000001100…
…100011001100
3201211100021100
4220030203030
510144142124
61013503100
7155364411
oct50144314
921740240
1010537164
115a47800
123641a90
13224c211
141584108
15dd21c9
hexa0c8cc

10537164 has 108 divisors (see below), whose sum is σ = 30499560. Its totient is φ = 3062400.

The previous prime is 10537141. The next prime is 10537169. The reversal of 10537164 is 46173501.

It is a super-2 number, since 2×105371642 = 222063650325792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10537169) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178567 + ... + 178625.

Almost surely, 210537164 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 10537164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249780).

10537164 is an abundant number, since it is smaller than the sum of its proper divisors (19962396).

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

10537164 is a wasteful number, since it uses less digits than its factorization.

10537164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 10537164 is about 3246.0998136225. The cubic root of 10537164 is about 219.2340027082.

It can be divided in two parts, 10537 and 164, that added together give a palindrome (10701).

The spelling of 10537164 in words is "ten million, five hundred thirty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 59 66 82 99 118 121 123 132 164 177 198 236 242 246 354 363 369 396 451 484 492 531 649 708 726 738 902 1062 1089 1298 1353 1452 1476 1804 1947 2124 2178 2419 2596 2706 3894 4059 4356 4838 4961 5412 5841 7139 7257 7788 8118 9676 9922 11682 14278 14514 14883 16236 19844 21417 21771 23364 26609 28556 29028 29766 42834 43542 44649 53218 59532 64251 79827 85668 87084 89298 106436 128502 159654 178596 239481 257004 292699 319308 478962 585398 878097 957924 1170796 1756194 2634291 3512388 5268582 10537164