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25311420 = 22335192467
BaseRepresentation
bin110000010001…
…1100010111100
31202121221202000
41200203202330
522434431140
62302302300
7425100141
oct140434274
952557660
1025311420
1113318932
128587990
135322b94
14350c3c8
15234ea30
hex18238bc

25311420 has 96 divisors (see below), whose sum is σ = 82924800. Its totient is φ = 6391872.

The previous prime is 25311397. The next prime is 25311421. The reversal of 25311420 is 2411352.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 25311393 and 25311402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25311421) 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, 9027 + ... + 11493.

It is an arithmetic number, because the mean of its divisors is an integer number (863800).

Almost surely, 225311420 is an apocalyptic number.

25311420 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 25311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41462400).

25311420 is an abundant number, since it is smaller than the sum of its proper divisors (57613380).

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

25311420 is a wasteful number, since it uses less digits than its factorization.

25311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 25311420 is about 5031.0456169667. The cubic root of 25311420 is about 293.6108971695.

Adding to 25311420 its reverse (2411352), we get a palindrome (27722772).

The spelling of 25311420 in words is "twenty-five million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2467 2565 3420 4934 5130 7401 9868 10260 12335 14802 22203 24670 29604 37005 44406 46873 49340 66609 74010 88812 93746 111015 133218 140619 148020 187492 222030 234365 266436 281238 333045 421857 444060 468730 562476 666090 703095 843714 937460 1265571 1332180 1406190 1687428 2109285 2531142 2812380 4218570 5062284 6327855 8437140 12655710 25311420