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980085690 = 23353629947
BaseRepresentation
bin111010011010101…
…110101110111010
32112022012111211000
4322122232232322
54001400220230
6241130345430
733200406453
oct7232565672
92468174730
10980085690
11463261981
1223428b276
13128086a7c
149424612a
155b09ab60
hex3a6aebba

980085690 has 32 divisors (see below), whose sum is σ = 2613562560. Its totient is φ = 261356112.

The previous prime is 980085679. The next prime is 980085697. The reversal of 980085690 is 96580089.

980085690 is a `hidden beast` number, since 9 + 80 + 0 + 8 + 569 + 0 = 666.

It is a super-2 number, since 2×9800856902 = 1921135919485552200, which contains 22 as substring.

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 (980085697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1814704 + ... + 1815243.

It is an arithmetic number, because the mean of its divisors is an integer number (81673830).

Almost surely, 2980085690 is an apocalyptic number.

980085690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

980085690 is an abundant number, since it is smaller than the sum of its proper divisors (1633476870).

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

980085690 is a wasteful number, since it uses less digits than its factorization.

980085690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629963 (or 3629957 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 980085690 is about 31306.3202884018. The cubic root of 980085690 is about 993.3173381756.

The spelling of 980085690 in words is "nine hundred eighty million, eighty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3629947 7259894 10889841 18149735 21779682 32669523 36299470 54449205 65339046 98008569 108898410 163347615 196017138 326695230 490042845 980085690