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5152560 = 243573067
BaseRepresentation
bin10011101001111100110000
3100200202222120
4103221330300
52304340220
6302234240
761540020
oct23517460
910622876
105152560
1129aa216
121885980
1310b536a
14981a80
156bba40
hex4e9f30

5152560 has 80 divisors (see below), whose sum is σ = 18260736. Its totient is φ = 1177344.

The previous prime is 5152549. The next prime is 5152571. The reversal of 5152560 is 652515.

5152560 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5152549) and next prime (5152571).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

5152560 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 5152560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147 + ... + 3213.

Almost surely, 25152560 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 5152560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9130368).

5152560 is an abundant number, since it is smaller than the sum of its proper divisors (13108176).

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

5152560 is a wasteful number, since it uses less digits than its factorization.

5152560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 5152560 is about 2269.9251088968. The cubic root of 5152560 is about 172.7193596643.

The spelling of 5152560 in words is "five million, one hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3067 6134 9201 12268 15335 18402 21469 24536 30670 36804 42938 46005 49072 61340 64407 73608 85876 92010 107345 122680 128814 147216 171752 184020 214690 245360 257628 322035 343504 368040 429380 515256 644070 736080 858760 1030512 1288140 1717520 2576280 5152560