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25133940 = 223251323467
BaseRepresentation
bin101111111100…
…0001101110100
31202021221021200
41133320031310
522413241230
62254412500
7423430536
oct137701564
952257250
1025133940
1113207557
128501130
135290170
1434a3856
152317160
hex17f8374

25133940 has 144 divisors (see below), whose sum is σ = 85857408. Its totient is φ = 5905152.

The previous prime is 25133921. The next prime is 25133947. The reversal of 25133940 is 4933152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25133947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53587 + ... + 54053.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 225133940 is an apocalyptic number.

25133940 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 25133940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928704).

25133940 is an abundant number, since it is smaller than the sum of its proper divisors (60723468).

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

25133940 is a wasteful number, since it uses less digits than its factorization.

25133940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 25133940 is about 5013.3761079735. The cubic root of 25133940 is about 292.9230346055.

It can be divided in two parts, 251 and 33940, that added together give a triangular number (34191 = T261).

The spelling of 25133940 in words is "twenty-five million, one hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 467 468 585 598 690 780 828 897 934 1035 1170 1196 1380 1401 1495 1794 1868 2070 2335 2340 2691 2802 2990 3588 4140 4203 4485 4670 5382 5604 5980 6071 7005 8406 8970 9340 10741 10764 12142 13455 14010 16812 17940 18213 21015 21482 24284 26910 28020 30355 32223 36426 42030 42964 53705 53820 54639 60710 64446 72852 84060 91065 96669 107410 109278 121420 128892 139633 161115 182130 193338 214820 218556 273195 279266 322230 364260 386676 418899 483345 546390 558532 644460 698165 837798 966690 1092780 1256697 1396330 1675596 1933380 2094495 2513394 2792660 4188990 5026788 6283485 8377980 12566970 25133940