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9076680400 = 245222691701
BaseRepresentation
bin10000111010000001…
…10010011011010000
3212102120101010202011
420131000302123100
5122042112233100
64100400432304
7440633340034
oct103500623320
925376333664
109076680400
113938605367
121913918694
13b1861a708
146216961c4
15381cc6bba
hex21d0326d0

9076680400 has 30 divisors (see below), whose sum is σ = 21806725622. Its totient is φ = 3630672000.

The previous prime is 9076680377. The next prime is 9076680421. The reversal of 9076680400 is 40866709.

It can be written as a sum of positive squares in 3 ways, for example, as 581002816 + 8495677584 = 24104^2 + 92172^2 .

It is a super-2 number, since 2×90766804002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11345451 + ... + 11346250.

Almost surely, 29076680400 is an apocalyptic number.

It is an amenable number.

9076680400 is an abundant number, since it is smaller than the sum of its proper divisors (12730045222).

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

9076680400 is a wasteful number, since it uses less digits than its factorization.

9076680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22691719 (or 22691708 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 9076680400 is about 95271.6138206969. The cubic root of 9076680400 is about 2085.9745935910.

The spelling of 9076680400 in words is "nine billion, seventy-six million, six hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 22691701 45383402 90766804 113458505 181533608 226917010 363067216 453834020 567292525 907668040 1134585050 1815336080 2269170100 4538340200 9076680400