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253359240 = 233571131227
BaseRepresentation
bin11110001100111…
…11010010001000
3122122201222112120
433012133102020
51004324443430
641050211240
76164342451
oct1706372210
9578658476
10253359240
11120018602
1270a23b20
134064a714
1425912128
1517399610
hexf19f488

253359240 has 128 divisors (see below), whose sum is σ = 780088320. Its totient is φ = 65811200.

The previous prime is 253359233. The next prime is 253359263. The reversal of 253359240 is 42953352.

253359240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116007 + ... + 1116233.

It is an arithmetic number, because the mean of its divisors is an integer number (6094440).

Almost surely, 2253359240 is an apocalyptic number.

253359240 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 253359240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390044160).

253359240 is an abundant number, since it is smaller than the sum of its proper divisors (526729080).

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

253359240 is a wasteful number, since it uses less digits than its factorization.

253359240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 253359240 is about 15917.2623274230. The cubic root of 253359240 is about 632.7695654029.

The spelling of 253359240 in words is "two hundred fifty-three million, three hundred fifty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 131 142 213 227 262 284 355 393 426 454 524 568 655 681 710 786 852 908 1048 1065 1135 1310 1362 1420 1572 1704 1816 1965 2130 2270 2620 2724 2840 3144 3405 3930 4260 4540 5240 5448 6810 7860 8520 9080 9301 13620 15720 16117 18602 27240 27903 29737 32234 37204 46505 48351 55806 59474 64468 74408 80585 89211 93010 96702 111612 118948 128936 139515 148685 161170 178422 186020 193404 223224 237896 241755 279030 297370 322340 356844 372040 386808 446055 483510 558060 594740 644680 713688 892110 967020 1116120 1189480 1784220 1934040 2111327 3568440 4222654 6333981 8445308 10556635 12667962 16890616 21113270 25335924 31669905 42226540 50671848 63339810 84453080 126679620 253359240