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250240640 = 27513191583
BaseRepresentation
bin11101110101001…
…01111010000000
3122102212112121212
432322211322000
51003030200030
640455305252
76126003356
oct1672457200
9572775555
10250240640
11119288551
126b97b228
133cac80b0
142533d7d6
1516e80595
hexeea5e80

250240640 has 128 divisors (see below), whose sum is σ = 678585600. Its totient is φ = 87478272.

The previous prime is 250240633. The next prime is 250240651. The reversal of 250240640 is 46042052.

250240640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2502406403 (a number of 26 digits) contains 333 as substring.

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, 157289 + ... + 158871.

It is an arithmetic number, because the mean of its divisors is an integer number (5301450).

Almost surely, 2250240640 is an apocalyptic number.

250240640 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 250240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339292800).

250240640 is an abundant number, since it is smaller than the sum of its proper divisors (428344960).

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

250240640 is a wasteful number, since it uses less digits than its factorization.

250240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 250240640 is about 15818.9961754847. The cubic root of 250240640 is about 630.1625850639.

Adding to 250240640 its reverse (46042052), we get a palindrome (296282692).

The spelling of 250240640 in words is "two hundred fifty million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 190 208 247 260 304 320 380 416 494 520 608 640 760 832 988 1040 1216 1235 1520 1583 1664 1976 2080 2432 2470 3040 3166 3952 4160 4940 6080 6332 7904 7915 8320 9880 12160 12664 15808 15830 19760 20579 25328 30077 31616 31660 39520 41158 50656 60154 63320 79040 82316 101312 102895 120308 126640 150385 158080 164632 202624 205790 240616 253280 300770 329264 391001 411580 481232 506560 601540 658528 782002 823160 962464 1013120 1203080 1317056 1564004 1646320 1924928 1955005 2406160 2634112 3128008 3292640 3849856 3910010 4812320 6256016 6585280 7820020 9624640 12512032 13170560 15640040 19249280 25024064 31280080 50048128 62560160 125120320 250240640