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2531434360 = 2357132923981
BaseRepresentation
bin1001011011100010…
…1001111101111000
320112102100012010011
42112320221331320
520141021344420
61055105231304
7116505560050
oct22670517570
96472305104
102531434360
111089a24114
125a7932534
133145b7270
141a02b4560
15ec38995a
hex96e29f78

2531434360 has 128 divisors (see below), whose sum is σ = 7252156800. Its totient is φ = 773498880.

The previous prime is 2531434343. The next prime is 2531434361. The reversal of 2531434360 is 634341352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531434361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93570 + ... + 117550.

It is an arithmetic number, because the mean of its divisors is an integer number (56657475).

Almost surely, 22531434360 is an apocalyptic number.

2531434360 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 2531434360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626078400).

2531434360 is an abundant number, since it is smaller than the sum of its proper divisors (4720722440).

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

2531434360 is a wasteful number, since it uses less digits than its factorization.

2531434360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24041 (or 24037 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 2531434360 is about 50313.3616447957. The cubic root of 2531434360 is about 1362.8735306705.

The spelling of 2531434360 in words is "two billion, five hundred thirty-one million, four hundred thirty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 29 35 40 52 56 58 65 70 91 104 116 130 140 145 182 203 232 260 280 290 364 377 406 455 520 580 728 754 812 910 1015 1160 1508 1624 1820 1885 2030 2639 3016 3640 3770 4060 5278 7540 8120 10556 13195 15080 21112 23981 26390 47962 52780 95924 105560 119905 167867 191848 239810 311753 335734 479620 623506 671468 695449 839335 959240 1247012 1342936 1390898 1558765 1678670 2182271 2494024 2781796 3117530 3357340 3477245 4364542 4868143 5563592 6235060 6714680 6954490 8729084 9040837 9736286 10911355 12470120 13908980 17458168 18081674 19472572 21822710 24340715 27817960 36163348 38945144 43645420 45204185 48681430 63285859 72326696 87290840 90408370 97362860 126571718 180816740 194725720 253143436 316429295 361633480 506286872 632858590 1265717180 2531434360