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372428520 = 233517210739
BaseRepresentation
bin10110001100101…
…100111011101000
3221221210022212220
4112030230323220
51230320203040
6100542234040
712141406302
oct2614547350
9857708786
10372428520
11181254072
12a4885920
135c209b09
1437668972
1522a692d0
hex1632cee8

372428520 has 96 divisors (see below), whose sum is σ = 1186984800. Its totient is φ = 93463552.

The previous prime is 372428501. The next prime is 372428549. The reversal of 372428520 is 25824273.

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, 29311 + ... + 40049.

It is an arithmetic number, because the mean of its divisors is an integer number (12364425).

Almost surely, 2372428520 is an apocalyptic number.

372428520 is a gapful number since it is divisible by the number (30) 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 372428520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593492400).

372428520 is an abundant number, since it is smaller than the sum of its proper divisors (814556280).

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

372428520 is a wasteful number, since it uses less digits than its factorization.

372428520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10787 (or 10766 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 372428520 is about 19298.4071881593. The cubic root of 372428520 is about 719.4726848858.

It can be divided in two parts, 372 and 428520, that multiplied together give a triangular number (159409440 = T17855).

The spelling of 372428520 in words is "three hundred seventy-two million, four hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3468 4335 5780 6936 8670 10739 11560 17340 21478 32217 34680 42956 53695 64434 85912 107390 128868 161085 182563 214780 257736 322170 365126 429560 547689 644340 730252 912815 1095378 1288680 1460504 1825630 2190756 2738445 3103571 3651260 4381512 5476890 6207142 7302520 9310713 10953780 12414284 15517855 18621426 21907560 24828568 31035710 37242852 46553565 62071420 74485704 93107130 124142840 186214260 372428520