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25434240 = 2735131019
BaseRepresentation
bin110000100000…
…1100010000000
31202212012012220
41201001202000
523002343430
62305051040
7426121206
oct141014200
952765186
1025434240
11133a2137
128626a80
135366a60
143541076
152376110
hex1841880

25434240 has 128 divisors (see below), whose sum is σ = 87393600. Its totient is φ = 6254592.

The previous prime is 25434203. The next prime is 25434257. The reversal of 25434240 is 4243452.

It is a tau number, because it is divible by the number of its divisors (128).

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 25434240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24451 + ... + 25469.

Almost surely, 225434240 is an apocalyptic number.

25434240 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 25434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43696800).

25434240 is an abundant number, since it is smaller than the sum of its proper divisors (61959360).

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

25434240 is a wasteful number, since it uses less digits than its factorization.

25434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 25434240 is about 5043.2370557014. The cubic root of 25434240 is about 294.0850325561.

Adding to 25434240 its reverse (4243452), we get a palindrome (29677692).

The spelling of 25434240 in words is "twenty-five million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1019 1040 1248 1560 1664 1920 2038 2080 2496 3057 3120 4076 4160 4992 5095 6114 6240 8152 8320 10190 12228 12480 13247 15285 16304 20380 24456 24960 26494 30570 32608 39741 40760 48912 52988 61140 65216 66235 79482 81520 97824 105976 122280 130432 132470 158964 163040 195648 198705 211952 244560 264940 317928 326080 391296 397410 423904 489120 529880 635856 652160 794820 847808 978240 1059760 1271712 1589640 1695616 1956480 2119520 2543424 3179280 4239040 5086848 6358560 8478080 12717120 25434240