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25530780 = 223511101383
BaseRepresentation
bin110000101100…
…1000110011100
31210001002122110
41201121012130
523013441110
62311114020
7430002522
oct141310634
953032573
1025530780
1113458720
128672910
13539b992
143568312
152394a20
hex185919c

25530780 has 96 divisors (see below), whose sum is σ = 78962688. Its totient is φ = 6112000.

The previous prime is 25530773. The next prime is 25530781. The reversal of 25530780 is 8703552.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25530781) 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 31 ways as a sum of consecutive naturals, for example, 66469 + ... + 66851.

It is an arithmetic number, because the mean of its divisors is an integer number (822528).

Almost surely, 225530780 is an apocalyptic number.

25530780 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 25530780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481344).

25530780 is an abundant number, since it is smaller than the sum of its proper divisors (53431908).

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

25530780 is a wasteful number, since it uses less digits than its factorization.

25530780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 25530780 is about 5052.7992241925. The cubic root of 25530780 is about 294.4566460933.

The spelling of 25530780 in words is "twenty-five million, five hundred thirty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 383 404 505 606 660 766 1010 1111 1149 1212 1515 1532 1915 2020 2222 2298 3030 3333 3830 4213 4444 4596 5555 5745 6060 6666 7660 8426 11110 11490 12639 13332 16665 16852 21065 22220 22980 25278 33330 38683 42130 50556 63195 66660 77366 84260 116049 126390 154732 193415 232098 252780 386830 425513 464196 580245 773660 851026 1160490 1276539 1702052 2127565 2320980 2553078 4255130 5106156 6382695 8510260 12765390 25530780