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25140240 = 24335103113
BaseRepresentation
bin101111111100…
…1110000010000
31202022020221000
41133321300100
522413441430
62254502000
7423455106
oct137716020
952266830
1025140240
1113211264
128504900
135292ca8
1434a5c76
152318e60
hex17f9c10

25140240 has 160 divisors (see below), whose sum is σ = 88208640. Its totient is φ = 6580224.

The previous prime is 25140239. The next prime is 25140259. The reversal of 25140240 is 4204152.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222424 + ... + 222536.

It is an arithmetic number, because the mean of its divisors is an integer number (551304).

Almost surely, 225140240 is an apocalyptic number.

25140240 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 25140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44104320).

25140240 is an abundant number, since it is smaller than the sum of its proper divisors (63068400).

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

25140240 is a wasteful number, since it uses less digits than its factorization.

25140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 25140240 is about 5014.0043877125. The cubic root of 25140240 is about 292.9475069717.

Adding to 25140240 its reverse (4204152), we get a palindrome (29344392).

The spelling of 25140240 in words is "twenty-five million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 103 108 113 120 135 144 180 206 216 226 240 270 309 339 360 412 432 452 515 540 565 618 678 720 824 904 927 1017 1030 1080 1130 1236 1356 1545 1648 1695 1808 1854 2034 2060 2160 2260 2472 2712 2781 3051 3090 3390 3708 4068 4120 4520 4635 4944 5085 5424 5562 6102 6180 6780 7416 8136 8240 9040 9270 10170 11124 11639 12204 12360 13560 13905 14832 15255 16272 18540 20340 22248 23278 24408 24720 27120 27810 30510 34917 37080 40680 44496 46556 48816 55620 58195 61020 69834 74160 81360 93112 104751 111240 116390 122040 139668 174585 186224 209502 222480 232780 244080 279336 314253 349170 419004 465560 523755 558672 628506 698340 838008 931120 1047510 1257012 1396680 1571265 1676016 2095020 2514024 2793360 3142530 4190040 5028048 6285060 8380080 12570120 25140240