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25131540 = 22357531129
BaseRepresentation
bin101111111011…
…1101000010100
31202021210222210
41133313220110
522413202130
62254353420
7423420540
oct137675024
952253883
1025131540
1113205775
1284bb870
13528c045
1434a2a20
1523165b0
hex17f7a14

25131540 has 96 divisors (see below), whose sum is σ = 82010880. Its totient is φ = 5630976.

The previous prime is 25131529. The next prime is 25131541. The reversal of 25131540 is 4513152.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25131541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21696 + ... + 22824.

It is an arithmetic number, because the mean of its divisors is an integer number (854280).

Almost surely, 225131540 is an apocalyptic number.

25131540 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 25131540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41005440).

25131540 is an abundant number, since it is smaller than the sum of its proper divisors (56879340).

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

25131540 is a wasteful number, since it uses less digits than its factorization.

25131540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 25131540 is about 5013.1367425994. The cubic root of 25131540 is about 292.9137107237.

Adding to 25131540 its reverse (4513152), we get a palindrome (29644692).

The spelling of 25131540 in words is "twenty-five million, one hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1129 1484 1590 1855 2226 2258 3180 3387 3710 4452 4516 5565 5645 6774 7420 7903 11130 11290 13548 15806 16935 22260 22580 23709 31612 33870 39515 47418 59837 67740 79030 94836 118545 119674 158060 179511 237090 239348 299185 359022 418859 474180 598370 718044 837718 897555 1196740 1256577 1675436 1795110 2094295 2513154 3590220 4188590 5026308 6282885 8377180 12565770 25131540