Search a number
-
+
531251240 = 2351323431033
BaseRepresentation
bin11111101010100…
…100000000101000
31101000122100200212
4133222210000220
52042000014430
6124414320252
716110363302
oct3752440050
91330570625
10531251240
11252971a13
12129ab9088
13860a7760
14507ac972
153198cb95
hex1faa4028

531251240 has 128 divisors (see below), whose sum is σ = 1375799040. Its totient is φ = 183085056.

The previous prime is 531251239. The next prime is 531251269. The reversal of 531251240 is 42152135.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 513764 + ... + 514796.

It is an arithmetic number, because the mean of its divisors is an integer number (10748430).

Almost surely, 2531251240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531251240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687899520).

531251240 is an abundant number, since it is smaller than the sum of its proper divisors (844547800).

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

531251240 is a wasteful number, since it uses less digits than its factorization.

531251240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 531251240 is about 23048.8880425933. Note that the first 3 decimals coincide. The cubic root of 531251240 is about 809.9035804551.

The spelling of 531251240 in words is "five hundred thirty-one million, two hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 43 46 52 65 86 92 104 115 130 172 184 215 230 260 299 344 430 460 520 559 598 860 920 989 1033 1118 1196 1495 1720 1978 2066 2236 2392 2795 2990 3956 4132 4472 4945 5165 5590 5980 7912 8264 9890 10330 11180 11960 12857 13429 19780 20660 22360 23759 25714 26858 39560 41320 44419 47518 51428 53716 64285 67145 88838 95036 102856 107432 118795 128570 134290 177676 190072 222095 237590 257140 268580 308867 355352 444190 475180 514280 537160 577447 617734 888380 950360 1021637 1154894 1235468 1544335 1776760 2043274 2309788 2470936 2887235 3088670 4086548 4619576 5108185 5774470 6177340 8173096 10216370 11548940 12354680 13281281 20432740 23097880 26562562 40865480 53125124 66406405 106250248 132812810 265625620 531251240