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7086980 = 2253761157
BaseRepresentation
bin11011000010001110000100
3111100001111202
4123002032010
53303240410
6411522032
7114144515
oct33021604
914301452
107086980
11400060a
122459318
1316119a4
14d26a0c
1594eca5
hex6c2384

7086980 has 48 divisors (see below), whose sum is σ = 15634416. Its totient is φ = 2695680.

The previous prime is 7086971. The next prime is 7086983. The reversal of 7086980 is 896807.

It can be written as a sum of positive squares in 8 ways, for example, as 440896 + 6646084 = 664^2 + 2578^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7086983) 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, 45062 + ... + 45218.

It is an arithmetic number, because the mean of its divisors is an integer number (325717).

Almost surely, 27086980 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 7086980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817208).

7086980 is an abundant number, since it is smaller than the sum of its proper divisors (8547436).

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

7086980 is a wasteful number, since it uses less digits than its factorization.

7086980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 7086980 is about 2662.1382383340. The cubic root of 7086980 is about 192.0821769178.

The spelling of 7086980 in words is "seven million, eighty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 157 185 244 305 314 370 610 628 740 785 1220 1570 2257 3140 4514 5809 9028 9577 11285 11618 19154 22570 23236 29045 38308 45140 47885 58090 95770 116180 191540 354349 708698 1417396 1771745 3543490 7086980