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25400340 = 223257191061
BaseRepresentation
bin110000011100…
…1010000010100
31202210110201100
41200321100110
523000302330
62304230100
7425620320
oct140712024
952713640
1025400340
1113379719
12860b330
1353544b4
143532980
15236b060
hex1839414

25400340 has 144 divisors (see below), whose sum is σ = 92776320. Its totient is φ = 5495040.

The previous prime is 25400311. The next prime is 25400341. The reversal of 25400340 is 4300452.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25400341) 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, 23410 + ... + 24470.

It is an arithmetic number, because the mean of its divisors is an integer number (644280).

Almost surely, 225400340 is an apocalyptic number.

25400340 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 25400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46388160).

25400340 is an abundant number, since it is smaller than the sum of its proper divisors (67375980).

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

25400340 is a wasteful number, since it uses less digits than its factorization.

25400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 25400340 is about 5039.8749984499. The cubic root of 25400340 is about 293.9543174891.

Adding to 25400340 its reverse (4300452), we get a palindrome (29700792).

The spelling of 25400340 in words is "twenty-five million, four hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1061 1140 1197 1260 1330 1596 1710 1995 2122 2394 2660 3183 3420 3990 4244 4788 5305 5985 6366 7427 7980 9549 10610 11970 12732 14854 15915 19098 20159 21220 22281 23940 29708 31830 37135 38196 40318 44562 47745 60477 63660 66843 74270 80636 89124 95490 100795 111405 120954 133686 141113 148540 181431 190980 201590 222810 241908 267372 282226 302385 334215 362862 403180 423339 445620 564452 604770 668430 705565 725724 846678 907155 1209540 1270017 1336860 1411130 1693356 1814310 2116695 2540034 2822260 3628620 4233390 5080068 6350085 8466780 12700170 25400340