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807445380 = 223578921601
BaseRepresentation
bin110000001000001…
…010001110000100
32002021100110211110
4300020022032010
53123201223010
6212042205020
726003113110
oct6010121604
92067313743
10807445380
11384866735
121a64b3770
13cb38ba41
1479346740
154ad48120
hex3020a384

807445380 has 96 divisors (see below), whose sum is σ = 2612977920. Its totient is φ = 182476800.

The previous prime is 807445367. The next prime is 807445393. The reversal of 807445380 is 83544708.

It is an interprime number because it is at equal distance from previous prime (807445367) and next prime (807445393).

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, 26580 + ... + 48180.

It is an arithmetic number, because the mean of its divisors is an integer number (27218520).

Almost surely, 2807445380 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 807445380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306488960).

807445380 is an abundant number, since it is smaller than the sum of its proper divisors (1805532540).

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

807445380 is a wasteful number, since it uses less digits than its factorization.

807445380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21709 (or 21707 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 807445380 is about 28415.5834006624. The cubic root of 807445380 is about 931.1887446458.

The spelling of 807445380 in words is "eight hundred seven million, four hundred forty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 89 105 140 178 210 267 356 420 445 534 623 890 1068 1246 1335 1780 1869 2492 2670 3115 3738 5340 6230 7476 9345 12460 18690 21601 37380 43202 64803 86404 108005 129606 151207 216010 259212 302414 324015 432020 453621 604828 648030 756035 907242 1296060 1512070 1814484 1922489 2268105 3024140 3844978 4536210 5767467 7689956 9072420 9612445 11534934 13457423 19224890 23069868 26914846 28837335 38449780 40372269 53829692 57674670 67287115 80744538 115349340 134574230 161489076 201861345 269148460 403722690 807445380