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5420900 = 2252151359
BaseRepresentation
bin10100101011011101100100
3101012102002002
4110223131210
52341432100
6312104432
764035242
oct24533544
911172062
105420900
113072891
121995118
13117a544
14a11792
157212d5
hex52b764

5420900 has 36 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 2148000.

The previous prime is 5420879. The next prime is 5420917. The reversal of 5420900 is 90245.

5420900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14921 + ... + 15279.

It is an arithmetic number, because the mean of its divisors is an integer number (329840).

Almost surely, 25420900 is an apocalyptic number.

5420900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5420900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

5420900 is an abundant number, since it is smaller than the sum of its proper divisors (6453340).

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

5420900 is a wasteful number, since it uses less digits than its factorization.

5420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 5420900 is about 2328.2826288919. The cubic root of 5420900 is about 175.6671135440.

The spelling of 5420900 in words is "five million, four hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 359 604 718 755 1436 1510 1795 3020 3590 3775 7180 7550 8975 15100 17950 35900 54209 108418 216836 271045 542090 1084180 1355225 2710450 5420900