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250090160 = 24519414013
BaseRepresentation
bin11101110100000…
…01001010110000
3122102120220012112
432322001022300
51003010341120
640452144452
76124505555
oct1672011260
9572526175
10250090160
11119195491
126b908128
133ca74758
1425300a2c
1516e50bc5
hexee812b0

250090160 has 80 divisors (see below), whose sum is σ = 627147360. Its totient is φ = 92436480.

The previous prime is 250090157. The next prime is 250090177. The reversal of 250090160 is 61090052.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60314 + ... + 64326.

It is an arithmetic number, because the mean of its divisors is an integer number (7839342).

Almost surely, 2250090160 is an apocalyptic number.

250090160 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 250090160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313573680).

250090160 is an abundant number, since it is smaller than the sum of its proper divisors (377057200).

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

250090160 is a wasteful number, since it uses less digits than its factorization.

250090160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 250090160 is about 15814.2391533706. The cubic root of 250090160 is about 630.0362455001.

The spelling of 250090160 in words is "two hundred fifty million, ninety thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 41 76 80 82 95 152 164 190 205 304 328 380 410 656 760 779 820 1520 1558 1640 3116 3280 3895 4013 6232 7790 8026 12464 15580 16052 20065 31160 32104 40130 62320 64208 76247 80260 152494 160520 164533 304988 321040 329066 381235 609976 658132 762470 822665 1219952 1316264 1524940 1645330 2632528 3049880 3126127 3290660 6099760 6252254 6581320 12504508 13162640 15630635 25009016 31261270 50018032 62522540 125045080 250090160