Search a number
-
+
25134340 = 22571119859
BaseRepresentation
bin101111111100…
…0010100000100
31202021221211111
41133320110010
522413244330
62254414404
7423431650
oct137702404
952257744
1025134340
1113207890
128501404
1352903ba
1434a3a60
15231732a
hex17f8504

25134340 has 96 divisors (see below), whose sum is σ = 69350400. Its totient is φ = 7413120.

The previous prime is 25134337. The next prime is 25134341. The reversal of 25134340 is 4343152.

25134340 = 1492 + 1502 + ... + 4282.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (25134341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28831 + ... + 29689.

It is an arithmetic number, because the mean of its divisors is an integer number (722400).

Almost surely, 225134340 is an apocalyptic number.

25134340 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 25134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34675200).

25134340 is an abundant number, since it is smaller than the sum of its proper divisors (44216060).

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

25134340 is a wasteful number, since it uses less digits than its factorization.

25134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 25134340 is about 5013.4160010915. The cubic root of 25134340 is about 292.9245885281.

Adding to 25134340 its reverse (4343152), we get a palindrome (29477492).

The spelling of 25134340 in words is "twenty-five million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 859 1045 1330 1463 1540 1718 2090 2660 2926 3436 4180 4295 5852 6013 7315 8590 9449 12026 14630 16321 17180 18898 24052 29260 30065 32642 37796 47245 60130 65284 66143 81605 94490 114247 120260 132286 163210 179531 188980 228494 264572 326420 330715 359062 456988 571235 661430 718124 897655 1142470 1256717 1322860 1795310 2284940 2513434 3590620 5026868 6283585 12567170 25134340