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20255900 = 22527191523
BaseRepresentation
bin100110101000…
…1010010011100
31102010002212112
41031101102130
520141142100
62002053152
7334113050
oct115212234
942102775
1020255900
1110485615
12694a1b8
134272a52
142993c60
151ba1b35
hex135149c

20255900 has 72 divisors (see below), whose sum is σ = 52913280. Its totient is φ = 6575040.

The previous prime is 20255897. The next prime is 20255903. The reversal of 20255900 is 955202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20255897) and next prime (20255903).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20255903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12539 + ... + 14061.

Almost surely, 220255900 is an apocalyptic number.

20255900 is a gapful number since it is divisible by the number (20) 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 20255900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26456640).

20255900 is an abundant number, since it is smaller than the sum of its proper divisors (32657380).

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

20255900 is a wasteful number, since it uses less digits than its factorization.

20255900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 20255900 is about 4500.6555078122. The cubic root of 20255900 is about 272.5945579877.

The spelling of 20255900 in words is "twenty million, two hundred fifty-five thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1523 1900 2660 3046 3325 6092 6650 7615 10661 13300 15230 21322 28937 30460 38075 42644 53305 57874 76150 106610 115748 144685 152300 202559 213220 266525 289370 405118 533050 578740 723425 810236 1012795 1066100 1446850 2025590 2893700 4051180 5063975 10127950 20255900