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25713240 = 2335724373
BaseRepresentation
bin110001000010…
…1101001011000
31210101100221020
41202011221120
523040310430
62315042440
7431362500
oct142055130
953340836
1025713240
1113572813
128740420
135433a47
1435b4a00
1523cdb10
hex1885a58

25713240 has 96 divisors (see below), whose sum is σ = 89754480. Its totient is φ = 5875968.

The previous prime is 25713239. The next prime is 25713271. The reversal of 25713240 is 4231752.

It is a super-2 number, since 2×257132402 = 1322341422595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 25713240.

It is a congruent number.

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, 3694 + ... + 8066.

Almost surely, 225713240 is an apocalyptic number.

25713240 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 25713240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44877240).

25713240 is an abundant number, since it is smaller than the sum of its proper divisors (64041240).

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

25713240 is a wasteful number, since it uses less digits than its factorization.

25713240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 25713240 is about 5070.8224185037. The cubic root of 25713240 is about 295.1564429238.

Adding to 25713240 its reverse (4231752), we get a palindrome (29944992).

The spelling of 25713240 in words is "twenty-five million, seven hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 4373 5880 8746 13119 17492 21865 26238 30611 34984 43730 52476 61222 65595 87460 91833 104952 122444 131190 153055 174920 183666 214277 244888 262380 306110 367332 428554 459165 524760 612220 642831 734664 857108 918330 1071385 1224440 1285662 1714216 1836660 2142770 2571324 3214155 3673320 4285540 5142648 6428310 8571080 12856620 25713240