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7676820 = 2232542649
BaseRepresentation
bin11101010010001110010100
3112110000121200
4131102032110
53431124240
6432312500
7122152254
oct35221624
915400550
107676820
114373788
1226a2730
13178a2c8
14103b964
15a19930
hex752394

7676820 has 36 divisors (see below), whose sum is σ = 23286900. Its totient is φ = 2047104.

The previous prime is 7676819. The next prime is 7676821. The reversal of 7676820 is 286767.

It is an interprime number because it is at equal distance from previous prime (7676819) and next prime (7676821).

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 3944196 = 1932^2 + 1986^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7676821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21145 + ... + 21504.

Almost surely, 27676820 is an apocalyptic number.

It is an amenable number.

7676820 is an abundant number, since it is smaller than the sum of its proper divisors (15610080).

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

7676820 is a wasteful number, since it uses less digits than its factorization.

7676820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42664 (or 42659 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7676820 is about 2770.7074908767. The cubic root of 7676820 is about 197.2697310955.

The spelling of 7676820 in words is "seven million, six hundred seventy-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 42649 85298 127947 170596 213245 255894 383841 426490 511788 639735 767682 852980 1279470 1535364 1919205 2558940 3838410 7676820