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382677020 = 225112315101
BaseRepresentation
bin10110110011110…
…011000000011100
3222200002000011222
4112303303000130
51240431131040
6101550032512
712324462305
oct2663630034
9880060158
10382677020
11187013a00
12a81a8738
136138780b
1438b757ac
15238e0bb5
hex16cf301c

382677020 has 72 divisors (see below), whose sum is σ = 911992704. Its totient is φ = 134640000.

The previous prime is 382677019. The next prime is 382677041. The reversal of 382677020 is 20776283.

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, 72470 + ... + 77570.

Almost surely, 2382677020 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 382677020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455996352).

382677020 is an abundant number, since it is smaller than the sum of its proper divisors (529315684).

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

382677020 is a wasteful number, since it uses less digits than its factorization.

382677020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5163 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 382677020 is about 19562.1322968638. The cubic root of 382677020 is about 726.0125495229.

The spelling of 382677020 in words is "three hundred eighty-two million, six hundred seventy-seven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 1210 1364 1705 2420 3410 3751 5101 6820 7502 10202 15004 18755 20404 25505 37510 51010 56111 75020 102020 112222 158131 224444 280555 316262 561110 617221 632524 790655 1122220 1234442 1581310 1739441 2468884 3086105 3162620 3478882 6172210 6957764 8697205 12344420 17394410 19133851 34788820 38267702 76535404 95669255 191338510 382677020