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5590900 = 225273163
BaseRepresentation
bin10101010100111101110100
3101112001021101
4111110331310
52412402100
6315455444
765344000
oct25247564
911461241
105590900
113179587
121a57584
131209a33
14a57700
1575686a
hex554f74

5590900 has 72 divisors (see below), whose sum is σ = 14235200. Its totient is φ = 1905120.

The previous prime is 5590889. The next prime is 5590913. The reversal of 5590900 is 90955.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34219 + ... + 34381.

Almost surely, 25590900 is an apocalyptic number.

5590900 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 5590900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117600).

5590900 is an abundant number, since it is smaller than the sum of its proper divisors (8644300).

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

5590900 is a wasteful number, since it uses less digits than its factorization.

5590900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 28.

The square root of 5590900 is about 2364.5084055676. The cubic root of 5590900 is about 177.4845585985.

Subtracting from 5590900 its reverse (90955), we obtain a palindrome (5499945).

The spelling of 5590900 in words is "five million, five hundred ninety thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 163 175 196 245 326 343 350 490 652 686 700 815 980 1141 1225 1372 1630 1715 2282 2450 3260 3430 4075 4564 4900 5705 6860 7987 8150 8575 11410 15974 16300 17150 22820 28525 31948 34300 39935 55909 57050 79870 111818 114100 159740 199675 223636 279545 399350 559090 798700 1118180 1397725 2795450 5590900