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5035360 = 255112861
BaseRepresentation
bin10011001101010101100000
3100110211012211
4103031111200
52242112420
6255531504
760541231
oct23152540
910424184
105035360
11292a160
121829b94
131073c05
14951088
15696e5a
hex4cd560

5035360 has 48 divisors (see below), whose sum is σ = 12982032. Its totient is φ = 1830400.

The previous prime is 5035351. The next prime is 5035369. The reversal of 5035360 is 635305.

It is an interprime number because it is at equal distance from previous prime (5035351) and next prime (5035369).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5035369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330 + ... + 3190.

It is an arithmetic number, because the mean of its divisors is an integer number (270459).

Almost surely, 25035360 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 5035360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491016).

5035360 is an abundant number, since it is smaller than the sum of its proper divisors (7946672).

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

5035360 is a wasteful number, since it uses less digits than its factorization.

5035360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 5035360 is about 2243.9607839711. The cubic root of 5035360 is about 171.3997464762.

The spelling of 5035360 in words is "five million, thirty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2861 5722 11444 14305 22888 28610 31471 45776 57220 62942 91552 114440 125884 157355 228880 251768 314710 457760 503536 629420 1007072 1258840 2517680 5035360