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5162560 = 265131773
BaseRepresentation
bin10011101100011001000000
3100201021200221
4103230121000
52310200220
6302352424
761611124
oct23543100
910637627
105162560
112a06787
12188b714
1310b9a90
14985584
156be9aa
hex4ec640

5162560 has 112 divisors (see below), whose sum is σ = 14209776. Its totient is φ = 1769472.

The previous prime is 5162513. The next prime is 5162561. The reversal of 5162560 is 652615.

It can be written as a sum of positive squares in 8 ways, for example, as 36864 + 5125696 = 192^2 + 2264^2 .

It is not an unprimeable number, because it can be changed into a prime (5162561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70684 + ... + 70756.

It is an arithmetic number, because the mean of its divisors is an integer number (126873).

Almost surely, 25162560 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 5162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7104888).

5162560 is an abundant number, since it is smaller than the sum of its proper divisors (9047216).

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

5162560 is a wasteful number, since it uses less digits than its factorization.

5162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 5162560 is about 2272.1267570274. The cubic root of 5162560 is about 172.8310243793.

The spelling of 5162560 in words is "five million, one hundred sixty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 73 80 85 104 130 136 146 160 170 208 221 260 272 292 320 340 365 416 442 520 544 584 680 730 832 884 949 1040 1088 1105 1168 1241 1360 1460 1768 1898 2080 2210 2336 2482 2720 2920 3536 3796 4160 4420 4672 4745 4964 5440 5840 6205 7072 7592 8840 9490 9928 11680 12410 14144 15184 16133 17680 18980 19856 23360 24820 30368 32266 35360 37960 39712 49640 60736 64532 70720 75920 79424 80665 99280 129064 151840 161330 198560 258128 303680 322660 397120 516256 645320 1032512 1290640 2581280 5162560