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250100240 = 245131012381
BaseRepresentation
bin11101110100000…
…11101000010000
3122102121102000212
432322003220100
51003011201430
640452303252
76124550135
oct1672035020
9572542025
10250100240
111191a2015
126b911b28
133ca79210
142530458c
1516e53b95
hexee83a10

250100240 has 80 divisors (see below), whose sum is σ = 632678256. Its totient is φ = 91392000.

The previous prime is 250100239. The next prime is 250100251. The reversal of 250100240 is 42001052.

It can be written as a sum of positive squares in 8 ways, for example, as 29637136 + 220463104 = 5444^2 + 14848^2 .

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, 103850 + ... + 106230.

Almost surely, 2250100240 is an apocalyptic number.

250100240 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 250100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316339128).

250100240 is an abundant number, since it is smaller than the sum of its proper divisors (382578016).

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

250100240 is a wasteful number, since it uses less digits than its factorization.

250100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 250100240 is about 15814.5578502847. The cubic root of 250100240 is about 630.0447100209.

Adding to 250100240 its reverse (42001052), we get a palindrome (292101292).

The spelling of 250100240 in words is "two hundred fifty million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 202 208 260 404 505 520 808 1010 1040 1313 1616 2020 2381 2626 4040 4762 5252 6565 8080 9524 10504 11905 13130 19048 21008 23810 26260 30953 38096 47620 52520 61906 95240 105040 123812 154765 190480 240481 247624 309530 480962 495248 619060 961924 1202405 1238120 1923848 2404810 2476240 3126253 3847696 4809620 6252506 9619240 12505012 15631265 19238480 25010024 31262530 50020048 62525060 125050120 250100240