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8009980 = 22511231583
BaseRepresentation
bin11110100011100011111100
3120001221121221
4132203203330
54022304410
6443403124
7125040466
oct36434374
916057557
108009980
114581020
1228234a4
131875b44
1410c7136
15a834da
hex7a38fc

8009980 has 48 divisors (see below), whose sum is σ = 19160064. Its totient is φ = 2784320.

The previous prime is 8009977. The next prime is 8009987. The reversal of 8009980 is 899008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4269 + ... + 5851.

It is an arithmetic number, because the mean of its divisors is an integer number (399168).

Almost surely, 28009980 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 8009980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580032).

8009980 is an abundant number, since it is smaller than the sum of its proper divisors (11150084).

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

8009980 is a wasteful number, since it uses less digits than its factorization.

8009980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 8009980 is about 2830.1908062885. The cubic root of 8009980 is about 200.0831321071.

The spelling of 8009980 in words is "eight million, nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 1583 2530 3166 5060 6332 7915 15830 17413 31660 34826 36409 69652 72818 87065 145636 174130 182045 348260 364090 400499 728180 800998 1601996 2002495 4004990 8009980