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25213920 = 253552529
BaseRepresentation
bin110000000101…
…1101111100000
31202102222222220
41200023233200
522423321140
62300231040
7424212654
oct140135740
952388886
1025213920
1113261656
12853b480
1352ba6a4
1434c4a64
152330bd0
hex180bbe0

25213920 has 48 divisors (see below), whose sum is σ = 79425360. Its totient is φ = 6723584.

The previous prime is 25213919. The next prime is 25213921. The reversal of 25213920 is 2931252.

It is an interprime number because it is at equal distance from previous prime (25213919) and next prime (25213921).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25213921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25785 + ... + 26744.

It is an arithmetic number, because the mean of its divisors is an integer number (1654695).

Almost surely, 225213920 is an apocalyptic number.

25213920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25213920 is an abundant number, since it is smaller than the sum of its proper divisors (54211440).

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

25213920 is a wasteful number, since it uses less digits than its factorization.

25213920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52547 (or 52539 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 25213920 is about 5021.3464329799. The cubic root of 25213920 is about 293.2334140855.

It can be divided in two parts, 2521 and 3920, that added together give a triangular number (6441 = T113).

The spelling of 25213920 in words is "twenty-five million, two hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 52529 105058 157587 210116 262645 315174 420232 525290 630348 787935 840464 1050580 1260696 1575870 1680928 2101160 2521392 3151740 4202320 5042784 6303480 8404640 12606960 25213920