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7974980 = 2251337829
BaseRepresentation
bin11110011011000001000100
3120000011121122
4132123001010
54020144410
6442533112
7124533446
oct36330104
916004548
107974980
1145577a2
122807198
131862c30
1410b8496
15a77e55
hex79b044

7974980 has 48 divisors (see below), whose sum is σ = 18545520. Its totient is φ = 2861568.

The previous prime is 7974977. The next prime is 7974991. The reversal of 7974980 is 894797.

It can be written as a sum of positive squares in 8 ways, for example, as 4 + 7974976 = 2^2 + 2824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9206 + ... + 10034.

It is an arithmetic number, because the mean of its divisors is an integer number (386365).

Almost surely, 27974980 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 7974980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9272760).

7974980 is an abundant number, since it is smaller than the sum of its proper divisors (10570540).

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

7974980 is a wasteful number, since it uses less digits than its factorization.

7974980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 7974980 is about 2824.0007082152. Note that the first 3 decimals coincide. The cubic root of 7974980 is about 199.7912822603.

The spelling of 7974980 in words is "seven million, nine hundred seventy-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 829 962 1658 1924 2405 3316 4145 4810 8290 9620 10777 16580 21554 30673 43108 53885 61346 107770 122692 153365 215540 306730 398749 613460 797498 1594996 1993745 3987490 7974980