Search a number
-
+
25974240 = 2535531021
BaseRepresentation
bin110001100010…
…1010111100000
31210212121221220
41203011113200
523122133430
62324415040
7433530435
oct143052740
953777856
1025974240
1113730916
128847480
1354c5796
143641b8c
152431110
hex18c55e0

25974240 has 96 divisors (see below), whose sum is σ = 83444256. Its totient is φ = 6789120.

The previous prime is 25974239. The next prime is 25974251. The reversal of 25974240 is 4247952.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×259742402 = 1349322287155200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24930 + ... + 25950.

It is an arithmetic number, because the mean of its divisors is an integer number (869211).

Almost surely, 225974240 is an apocalyptic number.

25974240 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 25974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41722128).

25974240 is an abundant number, since it is smaller than the sum of its proper divisors (57470016).

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

25974240 is a wasteful number, since it uses less digits than its factorization.

25974240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 25974240 is about 5096.4929117973. The cubic root of 25974240 is about 296.1517361795.

The spelling of 25974240 in words is "twenty-five million, nine hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1021 1060 1272 1590 1696 2042 2120 2544 3063 3180 4084 4240 5088 5105 6126 6360 8168 8480 10210 12252 12720 15315 16336 20420 24504 25440 30630 32672 40840 49008 54113 61260 81680 98016 108226 122520 162339 163360 216452 245040 270565 324678 432904 490080 541130 649356 811695 865808 1082260 1298712 1623390 1731616 2164520 2597424 3246780 4329040 5194848 6493560 8658080 12987120 25974240