Search a number
-
+
25119640 = 23571367103
BaseRepresentation
bin101111111010…
…0101110011000
31202021012200001
41133310232120
522412312030
62254222344
7423341050
oct137645630
952235601
1025119640
11131a7837
1284b49b4
1352867c0
14349c560
152312cca
hex17f4b98

25119640 has 128 divisors (see below), whose sum is σ = 71285760. Its totient is φ = 7755264.

The previous prime is 25119631. The next prime is 25119649. The reversal of 25119640 is 4691152.

It is an interprime number because it is at equal distance from previous prime (25119631) and next prime (25119649).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 25119599 and 25119608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25119649) 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, 243829 + ... + 243931.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 225119640 is an apocalyptic number.

25119640 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 25119640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35642880).

25119640 is an abundant number, since it is smaller than the sum of its proper divisors (46166120).

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

25119640 is a wasteful number, since it uses less digits than its factorization.

25119640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 25119640 is about 5011.9497204182. The cubic root of 25119640 is about 292.8674710388.

25119640 divided by its sum of digits (28) gives a triangular number (897130 = T1339).

It can be divided in two parts, 251 and 19640, that added together give a palindrome (19891).

The spelling of 25119640 in words is "twenty-five million, one hundred nineteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 67 70 91 103 104 130 134 140 182 206 260 268 280 335 364 412 455 469 515 520 536 670 721 728 824 871 910 938 1030 1339 1340 1442 1742 1820 1876 2060 2345 2678 2680 2884 3484 3605 3640 3752 4120 4355 4690 5356 5768 6097 6695 6901 6968 7210 8710 9373 9380 10712 12194 13390 13802 14420 17420 18746 18760 24388 26780 27604 28840 30485 34505 34840 37492 46865 48307 48776 53560 55208 60970 69010 74984 89713 93730 96614 121940 138020 179426 187460 193228 241535 243880 276040 358852 374920 386456 448565 483070 627991 717704 897130 966140 1255982 1794260 1932280 2511964 3139955 3588520 5023928 6279910 12559820 25119640