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976706820 = 223256618209
BaseRepresentation
bin111010001101110…
…101110100000100
32112001211211212200
4322031311310010
54000014104240
6240530114500
733126604515
oct7215656404
92461754780
10976706820
11461364321
1223311ba30
13127472b3b
1493a06a0c
155ab2e930
hex3a375d04

976706820 has 72 divisors (see below), whose sum is σ = 2967520920. Its totient is φ = 260029440.

The previous prime is 976706813. The next prime is 976706821. The reversal of 976706820 is 28607679.

It is a happy number.

976706820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46212804 + 930494016 = 6798^2 + 30504^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (976706821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114876 + ... + 123084.

Almost surely, 2976706820 is an apocalyptic number.

976706820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

976706820 is an abundant number, since it is smaller than the sum of its proper divisors (1990814100).

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

976706820 is a wasteful number, since it uses less digits than its factorization.

976706820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8885 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 976706820 is about 31252.3090346937. The cubic root of 976706820 is about 992.1745283997.

The spelling of 976706820 in words is "nine hundred seventy-six million, seven hundred six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 661 1322 1983 2644 3305 3966 5949 6610 7932 8209 9915 11898 13220 16418 19830 23796 24627 29745 32836 39660 41045 49254 59490 73881 82090 98508 118980 123135 147762 164180 246270 295524 369405 492540 738810 1477620 5426149 10852298 16278447 21704596 27130745 32556894 48835341 54261490 65113788 81392235 97670682 108522980 162784470 195341364 244176705 325568940 488353410 976706820