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25365340 = 225721113181
BaseRepresentation
bin110000011000…
…0101101011100
31202201200201001
41200300231130
522443142330
62303400044
7425413300
oct140605534
952650631
1025365340
11133553a0
1285b3024
1353415a0
143523d00
1523609ca
hex1830b5c

25365340 has 144 divisors (see below), whose sum is σ = 73198944. Its totient is φ = 7257600.

The previous prime is 25365317. The next prime is 25365341. The reversal of 25365340 is 4356352.

It is a super-3 number, since 3×253653403 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 25365299 and 25365308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25365341) 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 47 ways as a sum of consecutive naturals, for example, 140050 + ... + 140230.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 225365340 is an apocalyptic number.

25365340 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 25365340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36599472).

25365340 is an abundant number, since it is smaller than the sum of its proper divisors (47833604).

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

25365340 is a wasteful number, since it uses less digits than its factorization.

25365340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 25365340 is about 5036.4014931298. The cubic root of 25365340 is about 293.8192388469.

The spelling of 25365340 in words is "twenty-five million, three hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 181 182 196 220 245 260 286 308 362 364 385 455 490 539 572 637 715 724 770 905 910 980 1001 1078 1267 1274 1430 1540 1810 1820 1991 2002 2156 2353 2534 2548 2695 2860 3185 3620 3982 4004 4706 5005 5068 5390 6335 6370 7007 7964 8869 9412 9955 10010 10780 11765 12670 12740 13937 14014 16471 17738 19910 20020 23530 25340 25883 27874 28028 32942 35035 35476 39820 44345 47060 51766 55748 65884 69685 70070 82355 88690 97559 103532 115297 129415 139370 140140 164710 177380 181181 195118 230594 258830 278740 329420 362362 390236 461188 487795 517660 576485 724724 905905 975590 1152970 1268267 1811810 1951180 2305940 2536534 3623620 5073068 6341335 12682670 25365340