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7742980 = 225727901
BaseRepresentation
bin11101100010011000000100
3112120101101001
4131202120010
53440233410
6433543044
7122546200
oct35423004
915511331
107742980
114409463
122714a84
1317b145b
141057b00
15a2e33a
hex762604

7742980 has 36 divisors (see below), whose sum is σ = 18917388. Its totient is φ = 2654400.

The previous prime is 7742957. The next prime is 7742993. The reversal of 7742980 is 892477.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 3678724 = 2016^2 + 1918^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2971 + ... + 4930.

It is an arithmetic number, because the mean of its divisors is an integer number (525483).

Almost surely, 27742980 is an apocalyptic number.

7742980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7742980 is an abundant number, since it is smaller than the sum of its proper divisors (11174408).

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

7742980 is a wasteful number, since it uses less digits than its factorization.

7742980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7924 (or 7915 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 7742980 is about 2782.6210665486. The cubic root of 7742980 is about 197.8348110380.

The spelling of 7742980 in words is "seven million, seven hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 7901 15802 31604 39505 55307 79010 110614 158020 221228 276535 387149 553070 774298 1106140 1548596 1935745 3871490 7742980