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1991983360 = 2854137957
BaseRepresentation
bin111011010111011…
…0100000100000000
312010211021020110111
41312232310010000
513034421431420
6525355041104
7100235402443
oct16656640400
95124236414
101991983360
11932471644
12477140194
132598cb4a3
1414c7ad65a
15b9d2c45a
hex76bb4100

1991983360 has 72 divisors (see below), whose sum is σ = 4887927576. Its totient is φ = 777338880.

The previous prime is 1991983327. The next prime is 1991983387. The reversal of 1991983360 is 633891991.

It can be written as a sum of positive squares in 4 ways, for example, as 164249856 + 1827733504 = 12816^2 + 42752^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33502 + ... + 71458.

It is an arithmetic number, because the mean of its divisors is an integer number (67887883).

Almost surely, 21991983360 is an apocalyptic number.

1991983360 is a gapful number since it is divisible by the number (10) 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 1991983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443963788).

1991983360 is an abundant number, since it is smaller than the sum of its proper divisors (2895944216).

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

1991983360 is an equidigital number, since it uses as much as digits as its factorization.

1991983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38019 (or 38005 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 49.

The square root of 1991983360 is about 44631.6407943961. The cubic root of 1991983360 is about 1258.2354067715.

The spelling of 1991983360 in words is "one billion, nine hundred ninety-one million, nine hundred eighty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 640 656 820 1280 1312 1640 2624 3280 5248 6560 10496 13120 26240 37957 52480 75914 151828 189785 303656 379570 607312 759140 1214624 1518280 1556237 2429248 3036560 3112474 4858496 6073120 6224948 7781185 9716992 12146240 12449896 15562370 24292480 24899792 31124740 48584960 49799584 62249480 99599168 124498960 199198336 248997920 398396672 497995840 995991680 1991983360