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252115320 = 233571127233
BaseRepresentation
bin11110000011011…
…11100101111000
3122120101210012110
433001233211320
51004020142240
641003412320
76150642042
oct1701574570
9576353173
10252115320
1111a348a76
12705240a0
1340303482
14256aaa92
1517200c80
hexf06f978

252115320 has 128 divisors (see below), whose sum is σ = 776355840. Its totient is φ = 65479680.

The previous prime is 252115309. The next prime is 252115333. The reversal of 252115320 is 23511252.

It is a congruent number.

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, 1081924 + ... + 1082156.

It is an arithmetic number, because the mean of its divisors is an integer number (6065280).

Almost surely, 2252115320 is an apocalyptic number.

252115320 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 252115320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388177920).

252115320 is an abundant number, since it is smaller than the sum of its proper divisors (524240520).

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

252115320 is a wasteful number, since it uses less digits than its factorization.

252115320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 252115320 is about 15878.1396895228. The cubic root of 252115320 is about 631.7322946210.

Adding to 252115320 its reverse (23511252), we get a palindrome (275626572).

The spelling of 252115320 in words is "two hundred fifty-two million, one hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 127 142 213 233 254 284 355 381 426 466 508 568 635 699 710 762 852 932 1016 1065 1165 1270 1398 1420 1524 1704 1864 1905 2130 2330 2540 2796 2840 3048 3495 3810 4260 4660 5080 5592 6990 7620 8520 9017 9320 13980 15240 16543 18034 27051 27960 29591 33086 36068 45085 49629 54102 59182 66172 72136 82715 88773 90170 99258 108204 118364 132344 135255 147955 165430 177546 180340 198516 216408 236728 248145 270510 295910 330860 355092 360680 397032 443865 496290 541020 591820 661720 710184 887730 992580 1082040 1183640 1775460 1985160 2100961 3550920 4201922 6302883 8403844 10504805 12605766 16807688 21009610 25211532 31514415 42019220 50423064 63028830 84038440 126057660 252115320