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5315760 = 2433523107
BaseRepresentation
bin10100010001110010110000
3101000001212000
4110101302300
52330101020
6305534000
763116562
oct24216260
911001760
105315760
11300089a
121944300
131141728
149c5332
15700090
hex511cb0

5315760 has 160 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 1343232.

The previous prime is 5315759. The next prime is 5315767. The reversal of 5315760 is 675135.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5315767) 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, 49627 + ... + 49733.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

Almost surely, 25315760 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 5315760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642240).

5315760 is an abundant number, since it is smaller than the sum of its proper divisors (13968720).

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

5315760 is a wasteful number, since it uses less digits than its factorization.

5315760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 5315760 is about 2305.5931991572. The cubic root of 5315760 is about 174.5239852855.

The spelling of 5315760 in words is "five million, three hundred fifteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 107 108 115 120 135 138 144 180 184 207 214 216 230 240 270 276 321 345 360 368 414 428 432 460 535 540 552 621 642 690 720 828 856 920 963 1035 1070 1080 1104 1242 1284 1380 1605 1656 1712 1840 1926 2070 2140 2160 2461 2484 2568 2760 2889 3105 3210 3312 3852 4140 4280 4815 4922 4968 5136 5520 5778 6210 6420 7383 7704 8280 8560 9630 9844 9936 11556 12305 12420 12840 14445 14766 15408 16560 19260 19688 22149 23112 24610 24840 25680 28890 29532 36915 38520 39376 44298 46224 49220 49680 57780 59064 66447 73830 77040 88596 98440 110745 115560 118128 132894 147660 177192 196880 221490 231120 265788 295320 332235 354384 442980 531576 590640 664470 885960 1063152 1328940 1771920 2657880 5315760