Search a number
-
+
25416420 = 22351492843
BaseRepresentation
bin110000011110…
…1001011100100
31202211021202220
41200331023210
523001311140
62304432340
7426015231
oct140751344
952737686
1025416420
111338a807
1286186b0
13535b903
143538788
152370bd0
hex183d2e4

25416420 has 48 divisors (see below), whose sum is σ = 71668800. Its totient is φ = 6729856.

The previous prime is 25416409. The next prime is 25416421. The reversal of 25416420 is 2461452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25416421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7519 + ... + 10361.

It is an arithmetic number, because the mean of its divisors is an integer number (1493100).

Almost surely, 225416420 is an apocalyptic number.

25416420 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 25416420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35834400).

25416420 is an abundant number, since it is smaller than the sum of its proper divisors (46252380).

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

25416420 is a wasteful number, since it uses less digits than its factorization.

25416420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 25416420 is about 5041.4700237133. The cubic root of 25416420 is about 294.0163348784.

Adding to 25416420 its reverse (2461452), we get a palindrome (27877872).

The spelling of 25416420 in words is "twenty-five million, four hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2843 2980 4470 5686 8529 8940 11372 14215 17058 28430 34116 42645 56860 85290 170580 423607 847214 1270821 1694428 2118035 2541642 4236070 5083284 6354105 8472140 12708210 25416420