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5315462240 = 255112463593
BaseRepresentation
bin1001111001101001…
…11000010001100000
3111201102222110101212
410330310320101200
541341224242430
62235240445252
7245502453314
oct47464702140
914642873355
105315462240
112288492500
121044179828
1366931153a
14385d3bb44
152119bbb95
hex13cd38460

5315462240 has 144 divisors (see below), whose sum is σ = 13856318784. Its totient is φ = 1925468160.

The previous prime is 5315462209. The next prime is 5315462293. The reversal of 5315462240 is 422645135.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5315462197 and 5315462206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8963384 + ... + 8963976.

It is an arithmetic number, because the mean of its divisors is an integer number (96224436).

Almost surely, 25315462240 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 5315462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928159392).

5315462240 is an abundant number, since it is smaller than the sum of its proper divisors (8540856544).

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

5315462240 is a wasteful number, since it uses less digits than its factorization.

5315462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 5315462240 is about 72907.2166524001. The cubic root of 5315462240 is about 1745.2072659611.

The spelling of 5315462240 in words is "five billion, three hundred fifteen million, four hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 463 484 593 605 880 926 968 1186 1210 1760 1852 1936 2315 2372 2420 2965 3704 3872 4630 4744 4840 5093 5930 6523 7408 9260 9488 9680 10186 11860 13046 14816 18520 18976 19360 20372 23720 25465 26092 32615 37040 40744 47440 50930 52184 56023 65230 71753 74080 81488 94880 101860 104368 112046 130460 143506 162976 203720 208736 224092 260920 274559 280115 287012 358765 407440 448184 521840 549118 560230 574024 717530 814880 896368 1043680 1098236 1120460 1148048 1372795 1435060 1792736 2196472 2240920 2296096 2745590 2870120 3020149 4392944 4481840 5491180 5740240 6040298 8785888 8963680 10982360 11480480 12080596 15100745 21964720 24161192 30201490 33221639 43929440 48322384 60402980 66443278 96644768 120805960 132886556 166108195 241611920 265773112 332216390 483223840 531546224 664432780 1063092448 1328865560 2657731120 5315462240