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5032820 = 2251321489
BaseRepresentation
bin10011001100101101110100
3100110200201202
4103030231310
52242022240
6255512032
760530642
oct23145564
910420652
105032820
112928261
121828618
131072a00
14950192
15696315
hex4ccb74

5032820 has 36 divisors (see below), whose sum is σ = 11452140. Its totient is φ = 1857024.

The previous prime is 5032771. The next prime is 5032823. The reversal of 5032820 is 282305.

It can be written as a sum of positive squares in 6 ways, for example, as 1669264 + 3363556 = 1292^2 + 1834^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5032792 and 5032801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5032823) 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, 2636 + ... + 4124.

It is an arithmetic number, because the mean of its divisors is an integer number (318115).

Almost surely, 25032820 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 5032820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726070).

5032820 is an abundant number, since it is smaller than the sum of its proper divisors (6419320).

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

5032820 is a wasteful number, since it uses less digits than its factorization.

5032820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5032820 is about 2243.3947490355. The cubic root of 5032820 is about 171.3709217527.

The spelling of 5032820 in words is "five million, thirty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1489 1690 2978 3380 5956 7445 14890 19357 29780 38714 77428 96785 193570 251641 387140 503282 1006564 1258205 2516410 5032820