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920513232 = 243237197877
BaseRepresentation
bin110110110111011…
…110101011010000
32101011002220202200
4312313132223100
53341122410412
6231201443200
731545143022
oct6667365320
92334086680
10920513232
11432673241
12218340500
131189295b2
148a37a012
1555c2e9dc
hex36ddead0

920513232 has 120 divisors (see below), whose sum is σ = 2662247016. Its totient is φ = 296690688.

The previous prime is 920513213. The next prime is 920513249. The reversal of 920513232 is 232315029.

It can be written as a sum of positive squares in 4 ways, for example, as 753173136 + 167340096 = 27444^2 + 12936^2 .

It is a super-2 number, since 2×9205132322 = 1694689220574171648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 920513196 and 920513205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049178 + ... + 1050054.

Almost surely, 2920513232 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 920513232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331123508).

920513232 is an abundant number, since it is smaller than the sum of its proper divisors (1741733784).

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

920513232 is a wasteful number, since it uses less digits than its factorization.

920513232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 920513232 is about 30339.9609755847. The cubic root of 920513232 is about 972.7696490145.

The spelling of 920513232 in words is "nine hundred twenty million, five hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 197 222 296 333 394 444 591 592 666 788 877 888 1182 1332 1576 1754 1773 1776 2364 2631 2664 3152 3508 3546 4728 5262 5328 7016 7092 7289 7893 9456 10524 14032 14184 14578 15786 21048 21867 28368 29156 31572 32449 42096 43734 58312 63144 64898 65601 87468 97347 116624 126288 129796 131202 172769 174936 194694 259592 262404 292041 345538 349872 389388 518307 519184 524808 584082 691076 778776 1036614 1049616 1168164 1382152 1554921 1557552 2073228 2336328 2764304 3109842 4146456 4672656 6219684 6392453 8292912 12439368 12784906 19177359 24878736 25569812 38354718 51139624 57532077 76709436 102279248 115064154 153418872 230128308 306837744 460256616 920513232