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920131380 = 223357243421
BaseRepresentation
bin110110110110000…
…001011100110100
32101010101111222000
4312312001130310
53341023201010
6231145335300
731541662530
oct6666013464
92333344860
10920131380
11432432363
12218197530
1311882484c
148a2babc0
1555ba67c0
hex36d81734

920131380 has 96 divisors (see below), whose sum is σ = 3271591680. Its totient is φ = 210314880.

The previous prime is 920131363. The next prime is 920131391. The reversal of 920131380 is 83131029.

920131380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117931 + ... + 125490.

It is an arithmetic number, because the mean of its divisors is an integer number (34079080).

Almost surely, 2920131380 is an apocalyptic number.

920131380 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

920131380 is an abundant number, since it is smaller than the sum of its proper divisors (2351460300).

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

920131380 is a wasteful number, since it uses less digits than its factorization.

920131380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243446 (or 243438 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 920131380 is about 30333.6674340575. The cubic root of 920131380 is about 972.6351206529.

The spelling of 920131380 in words is "nine hundred twenty million, one hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 243421 486842 730263 973684 1217105 1460526 1703947 2190789 2434210 2921052 3407894 3651315 4381578 4868420 5111841 6572367 6815788 7302630 8519735 8763156 10223682 10953945 13144734 14605260 15335523 17039470 20447364 21907890 25559205 26289468 30671046 32861835 34078940 43815780 46006569 51118410 61342092 65723670 76677615 92013138 102236820 131447340 153355230 184026276 230032845 306710460 460065690 920131380