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250090080 = 2535521021
BaseRepresentation
bin11101110100000…
…01001001100000
3122102120220002120
432322001021200
51003010340310
640452144240
76124505412
oct1672011140
9572526076
10250090080
11119195419
126b908080
133ca746c6
14253009b2
1516e50b70
hexee81260

250090080 has 48 divisors (see below), whose sum is σ = 787785264. Its totient is φ = 66690560.

The previous prime is 250090079. The next prime is 250090097. The reversal of 250090080 is 80090052.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2500900802 = 125090096228812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 250090080.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 260031 + ... + 260990.

It is an arithmetic number, because the mean of its divisors is an integer number (16412193).

Almost surely, 2250090080 is an apocalyptic number.

250090080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

250090080 is an abundant number, since it is smaller than the sum of its proper divisors (537695184).

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

250090080 is a wasteful number, since it uses less digits than its factorization.

250090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521039 (or 521031 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 250090080 is about 15814.2366240043. The cubic root of 250090080 is about 630.0361783205.

The spelling of 250090080 in words is "two hundred fifty million, ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 521021 1042042 1563063 2084084 2605105 3126126 4168168 5210210 6252252 7815315 8336336 10420420 12504504 15630630 16672672 20840840 25009008 31261260 41681680 50018016 62522520 83363360 125045040 250090080