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25230120 = 2335533967
BaseRepresentation
bin110000000111…
…1101100101000
31202110211012220
41200033230220
522424330440
62300434040
7424311126
oct140175450
952424186
1025230120
1113272843
128548920
1352c4b86
1434ca916
1523358d0
hex180fb28

25230120 has 64 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 6599424.

The previous prime is 25230113. The next prime is 25230131. The reversal of 25230120 is 2103252.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 25230120.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4377 + ... + 8343.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 225230120 is an apocalyptic number.

25230120 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 25230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

25230120 is an abundant number, since it is smaller than the sum of its proper divisors (51907800).

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

25230120 is a wasteful number, since it uses less digits than its factorization.

25230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 25230120 is about 5022.9592871135. The cubic root of 25230120 is about 293.2962016819.

Adding to 25230120 its reverse (2103252), we get a palindrome (27333372).

It can be divided in two parts, 25230 and 120, that multiplied together give a square (3027600 = 17402).

The spelling of 25230120 in words is "twenty-five million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 3967 6360 7934 11901 15868 19835 23802 31736 39670 47604 59505 79340 95208 119010 158680 210251 238020 420502 476040 630753 841004 1051255 1261506 1682008 2102510 2523012 3153765 4205020 5046024 6307530 8410040 12615060 25230120