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25312420 = 22572231123
BaseRepresentation
bin110000010001…
…1110010100100
31202122000010001
41200203302210
522434444140
62302311044
7425103100
oct140436244
952560101
1025312420
1113319661
128588484
135323483
14350c900
15234ee9a
hex1823ca4

25312420 has 72 divisors (see below), whose sum is σ = 64580544. Its totient is φ = 8293824.

The previous prime is 25312387. The next prime is 25312451. The reversal of 25312420 is 2421352.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21979 + ... + 23101.

It is an arithmetic number, because the mean of its divisors is an integer number (896952).

Almost surely, 225312420 is an apocalyptic number.

25312420 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 25312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32290272).

25312420 is an abundant number, since it is smaller than the sum of its proper divisors (39268124).

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

25312420 is a wasteful number, since it uses less digits than its factorization.

25312420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 25312420 is about 5031.1449989043. The cubic root of 25312420 is about 293.6147637645.

Adding to 25312420 its reverse (2421352), we get a palindrome (27733772).

It can be divided in two parts, 25 and 312420, that added together give a triangular number (312445 = T790).

The spelling of 25312420 in words is "twenty-five million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1123 1127 1610 2246 2254 3220 4492 4508 5615 5635 7861 11230 11270 15722 22460 22540 25829 31444 39305 51658 55027 78610 103316 110054 129145 157220 180803 220108 258290 275135 361606 516580 550270 723212 904015 1100540 1265621 1808030 2531242 3616060 5062484 6328105 12656210 25312420