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5032320 = 27352621
BaseRepresentation
bin10011001100100110000000
3100110200001020
4103030212000
52242013240
6255505440
760526326
oct23144600
910420036
105032320
112927947
121828280
131072707
1494dd16
156960d0
hex4cc980

5032320 has 64 divisors (see below), whose sum is σ = 16046640. Its totient is φ = 1341440.

The previous prime is 5032319. The next prime is 5032361. The reversal of 5032320 is 232305.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5032320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610 + ... + 3230.

Almost surely, 25032320 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 5032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023320).

5032320 is an abundant number, since it is smaller than the sum of its proper divisors (11014320).

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

5032320 is a wasteful number, since it uses less digits than its factorization.

5032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 5032320 is about 2243.2833080108. The cubic root of 5032320 is about 171.3652464522.

Subtracting from 5032320 its sum of digits (15), we obtain a palindrome (5032305).

Adding to 5032320 its reverse (232305), we get a palindrome (5264625).

The spelling of 5032320 in words is "five million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2621 5242 7863 10484 13105 15726 20968 26210 31452 39315 41936 52420 62904 78630 83872 104840 125808 157260 167744 209680 251616 314520 335488 419360 503232 629040 838720 1006464 1258080 1677440 2516160 5032320