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25126420 = 22511181631
BaseRepresentation
bin101111111011…
…0011000010100
31202021112222011
41133312120110
522413021140
62254314004
7423366604
oct137663024
952245864
1025126420
1113201940
1284b8904
135289907
1434a0c04
152314cea
hex17f6614

25126420 has 48 divisors (see below), whose sum is σ = 57972096. Its totient is φ = 9072000.

The previous prime is 25126411. The next prime is 25126427. The reversal of 25126420 is 2462152.

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

It is a junction number, because it is equal to n+sod(n) for n = 25126391 and 25126400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25126427) 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, 39505 + ... + 40135.

It is an arithmetic number, because the mean of its divisors is an integer number (1207752).

Almost surely, 225126420 is an apocalyptic number.

25126420 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 25126420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28986048).

25126420 is an abundant number, since it is smaller than the sum of its proper divisors (32845676).

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

25126420 is a wasteful number, since it uses less digits than its factorization.

25126420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 25126420 is about 5012.6260582653. The cubic root of 25126420 is about 292.8938177916.

Adding to 25126420 its reverse (2462152), we get a palindrome (27588572).

The spelling of 25126420 in words is "twenty-five million, one hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 220 362 631 724 905 1262 1810 1991 2524 3155 3620 3982 6310 6941 7964 9955 12620 13882 19910 27764 34705 39820 69410 114211 138820 228422 456844 571055 1142110 1256321 2284220 2512642 5025284 6281605 12563210 25126420