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5420500 = 225337293
BaseRepresentation
bin10100101011010111010100
3101012101112021
4110223113110
52341424000
6312102524
764034131
oct24532724
911171467
105420500
113072558
121994a44
13117a2c7
14a11588
1572111a
hex52b5d4

5420500 has 48 divisors (see below), whose sum is σ = 12199824. Its totient is φ = 2102400.

The previous prime is 5420483. The next prime is 5420509. The reversal of 5420500 is 50245.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 56644 + 5363856 = 238^2 + 2316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5420509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18354 + ... + 18646.

It is an arithmetic number, because the mean of its divisors is an integer number (254163).

Almost surely, 25420500 is an apocalyptic number.

5420500 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 5420500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099912).

5420500 is an abundant number, since it is smaller than the sum of its proper divisors (6779324).

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

5420500 is a wasteful number, since it uses less digits than its factorization.

5420500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 5420500 is about 2328.1967270830. The cubic root of 5420500 is about 175.6627927010.

Adding to 5420500 its reverse (50245), we get a palindrome (5470745).

It can be divided in two parts, 5 and 420500, that multiplied together give a square (2102500 = 14502).

The spelling of 5420500 in words is "five million, four hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 293 370 500 586 740 925 1172 1465 1850 2930 3700 4625 5860 7325 9250 10841 14650 18500 21682 29300 36625 43364 54205 73250 108410 146500 216820 271025 542050 1084100 1355125 2710250 5420500