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5074560 = 27325881
BaseRepresentation
bin10011010110111010000000
3100112210222200
4103112322000
52244341220
6300433200
761063431
oct23267200
910483880
105074560
112956657
121848800
1310889ca
14961488
156a3890
hex4d6e80

5074560 has 96 divisors (see below), whose sum is σ = 17542980. Its totient is φ = 1351680.

The previous prime is 5074481. The next prime is 5074567. The reversal of 5074560 is 654705.

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 304704 = 2184^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5074567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5320 + ... + 6200.

Almost surely, 25074560 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 5074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8771490).

5074560 is an abundant number, since it is smaller than the sum of its proper divisors (12468420).

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

5074560 is a wasteful number, since it uses less digits than its factorization.

5074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5074560 is about 2252.6784058094. The cubic root of 5074560 is about 171.8433764408.

It can be divided in two parts, 50745 and 60, that added together give a palindrome (50805).

The spelling of 5074560 in words is "five million, seventy-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 881 960 1152 1440 1762 1920 2643 2880 3524 4405 5286 5760 7048 7929 8810 10572 13215 14096 15858 17620 21144 26430 28192 31716 35240 39645 42288 52860 56384 63432 70480 79290 84576 105720 112768 126864 140960 158580 169152 211440 253728 281920 317160 338304 422880 507456 563840 634320 845760 1014912 1268640 1691520 2537280 5074560