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25340940 = 22325236121
BaseRepresentation
bin110000010101…
…0110000001100
31202200110020100
41200222300030
522441402230
62303051100
7425252202
oct140526014
952613210
1025340940
1113339029
1285a0a90
135333451
143519072
152358660
hex182ac0c

25340940 has 72 divisors (see below), whose sum is σ = 80222688. Its totient is φ = 6462720.

The previous prime is 25340933. The next prime is 25340947. The reversal of 25340940 is 4904352.

25340940 is a `hidden beast` number, since 253 + 409 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25340933) and next prime (25340947).

It is not an unprimeable number, because it can be changed into a prime (25340947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080 + ... + 7200.

It is an arithmetic number, because the mean of its divisors is an integer number (1114204).

Almost surely, 225340940 is an apocalyptic number.

25340940 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 25340940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40111344).

25340940 is an abundant number, since it is smaller than the sum of its proper divisors (54881748).

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

25340940 is a wasteful number, since it uses less digits than its factorization.

25340940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 25340940 is about 5033.9785458422. The cubic root of 25340940 is about 293.7249962119.

The spelling of 25340940 in words is "twenty-five million, three hundred forty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 6121 12242 18363 24484 30605 36726 55089 61210 73452 91815 110178 122420 140783 183630 220356 275445 281566 367260 422349 550890 563132 703915 844698 1101780 1267047 1407830 1689396 2111745 2534094 2815660 4223490 5068188 6335235 8446980 12670470 25340940