Search a number
-
+
10572792060 = 22351961152039
BaseRepresentation
bin10011101100011000…
…00000000011111100
31000021211120111010010
421312030000003330
5133123113321220
64505043343220
7523001151435
oct116614000374
930254514103
1010572792060
11453607a186
122070981b10
13cc657ab9c
1472426648c
1541d3041e0
hex2763000fc

10572792060 has 96 divisors (see below), whose sum is σ = 31672972800. Its totient is φ = 2627216640.

The previous prime is 10572792023. The next prime is 10572792067. The reversal of 10572792060 is 6029727501.

It is a super-2 number, since 2×105727920602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10572792067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6480 + ... + 145559.

It is an arithmetic number, because the mean of its divisors is an integer number (329926800).

Almost surely, 210572792060 is an apocalyptic number.

10572792060 is a gapful number since it is divisible by the number (10) 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 10572792060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836486400).

10572792060 is an abundant number, since it is smaller than the sum of its proper divisors (21100180740).

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

10572792060 is a wasteful number, since it uses less digits than its factorization.

10572792060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152131 (or 152129 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 10572792060 in words is "ten billion, five hundred seventy-two million, seven hundred ninety-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 61 76 95 114 122 183 190 228 244 285 305 366 380 570 610 732 915 1140 1159 1220 1830 2318 3477 3660 4636 5795 6954 11590 13908 17385 23180 34770 69540 152039 304078 456117 608156 760195 912234 1520390 1824468 2280585 2888741 3040780 4561170 5777482 8666223 9122340 9274379 11554964 14443705 17332446 18548758 27823137 28887410 34664892 37097516 43331115 46371895 55646274 57774820 86662230 92743790 111292548 139115685 173324460 176213201 185487580 278231370 352426402 528639603 556462740 704852804 881066005 1057279206 1762132010 2114558412 2643198015 3524264020 5286396030 10572792060