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250190080 = 285723989
BaseRepresentation
bin11101110100110…
…01100100000000
3122102202222021021
432322121210000
51003022040310
640454235224
76125403100
oct1672314400
9572688237
10250190080
11119253568
126b955b14
133caab08a
1425329200
1516e705da
hexee99900

250190080 has 108 divisors (see below), whose sum is σ = 697300380. Its totient is φ = 85757952.

The previous prime is 250190069. The next prime is 250190099. The reversal of 250190080 is 80091052.

It can be written as a sum of positive squares in 2 ways, for example, as 103876864 + 146313216 = 10192^2 + 12096^2 .

It is a super-2 number, since 2×2501900802 = 125190152260812800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60726 + ... + 64714.

It is an arithmetic number, because the mean of its divisors is an integer number (6456485).

Almost surely, 2250190080 is an apocalyptic number.

250190080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348650190).

250190080 is an abundant number, since it is smaller than the sum of its proper divisors (447110300).

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

250190080 is an equidigital number, since it uses as much as digits as its factorization.

250190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 250190080 is about 15817.3980161087. The cubic root of 250190080 is about 630.1201416964.

The spelling of 250190080 in words is "two hundred fifty million, one hundred ninety thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 560 640 784 896 980 1120 1280 1568 1792 1960 2240 3136 3920 3989 4480 6272 7840 7978 8960 12544 15680 15956 19945 27923 31360 31912 39890 55846 62720 63824 79780 111692 127648 139615 159560 195461 223384 255296 279230 319120 390922 446768 510592 558460 638240 781844 893536 977305 1021184 1116920 1276480 1563688 1787072 1954610 2233840 2552960 3127376 3574144 3909220 4467680 5105920 6254752 7148288 7818440 8935360 12509504 15636880 17870720 25019008 31273760 35741440 50038016 62547520 125095040 250190080