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2013826932 = 22321329148381
BaseRepresentation
bin111100000001000…
…1000111101110100
312012100101000012200
41320002020331310
513111014430212
6531455144500
7100622150355
oct17002107564
95170330180
102013826932
11943830a87
12482515130
132612a8a90
14151657d2c
15bbbe46dc
hex78088f74

2013826932 has 72 divisors (see below), whose sum is σ = 5671160040. Its totient is φ = 598268160.

The previous prime is 2013826931. The next prime is 2013826943. The reversal of 2013826932 is 2396283102.

It can be written as a sum of positive squares in 4 ways, for example, as 2842596 + 2010984336 = 1686^2 + 44844^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013826931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60619 + ... + 87762.

Almost surely, 22013826932 is an apocalyptic number.

It is an amenable number.

2013826932 is an abundant number, since it is smaller than the sum of its proper divisors (3657333108).

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

2013826932 is a wasteful number, since it uses less digits than its factorization.

2013826932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148433 (or 148428 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2013826932 is about 44875.6830811521. The cubic root of 2013826932 is about 1262.8178582340.

The spelling of 2013826932 in words is "two billion, thirteen million, eight hundred twenty-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 13572 148381 296762 445143 593524 890286 1335429 1780572 1928953 2670858 3857906 4303049 5341716 5786859 7715812 8606098 11573718 12909147 17212196 17360577 23147436 25818294 34721154 38727441 51636588 55939637 69442308 77454882 111879274 154909764 167818911 223758548 335637822 503456733 671275644 1006913466 2013826932