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8070000921 = 343724111173
BaseRepresentation
bin1111000010000001…
…00111000100011001
3202211102010112010000
413201000213010121
5113011410012141
63412440043213
7403660606323
oct74100470431
922742115100
108070000921
11347133a154
121692763509
139b7bb2198
14567aca613
153237265b6
hex1e1027119

8070000921 has 40 divisors (see below), whose sum is σ = 12433488584. Its totient is φ = 5212408320.

The previous prime is 8070000907. The next prime is 8070000923. The reversal of 8070000921 is 1290000708.

It can be written as a sum of positive squares in 4 ways, for example, as 3640432896 + 4429568025 = 60336^2 + 66555^2 .

It is not a de Polignac number, because 8070000921 - 217 = 8069869849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8070000923) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 716691 + ... + 727863.

Almost surely, 28070000921 is an apocalyptic number.

8070000921 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8070000921 is a deficient number, since it is larger than the sum of its proper divisors (4363487663).

8070000921 is a wasteful number, since it uses less digits than its factorization.

8070000921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11463 (or 11454 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 8070000921 is about 89833.1838520711. The cubic root of 8070000921 is about 2005.8164779770.

The spelling of 8070000921 in words is "eight billion, seventy million, nine hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 27 37 81 111 241 333 723 999 2169 2997 6507 8917 11173 19521 26751 33519 80253 100557 240759 301671 413401 722277 905013 1240203 2692693 3720609 8078079 11161827 24234237 33485481 72702711 99629641 218108133 298888923 896666769 2690000307 8070000921