Search a number
-
+
25312920 = 2335712971
BaseRepresentation
bin110000010001…
…1111010011000
31202122000210120
41200203322120
522440003140
62302313240
7425104413
oct140437230
952560716
1025312920
1113319a76
128588820
135323779
14350cb7a
1523501d0
hex1823e98

25312920 has 64 divisors (see below), whose sum is σ = 77034240. Its totient is φ = 6652800.

The previous prime is 25312919. The next prime is 25312951. The reversal of 25312920 is 2921352.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7035 + ... + 10005.

It is an arithmetic number, because the mean of its divisors is an integer number (1203660).

Almost surely, 225312920 is an apocalyptic number.

25312920 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 25312920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38517120).

25312920 is an abundant number, since it is smaller than the sum of its proper divisors (51721320).

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

25312920 is a wasteful number, since it uses less digits than its factorization.

25312920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3052 counting only the distinct ones).

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

The square root of 25312920 is about 5031.1946891370. The cubic root of 25312920 is about 293.6166970238.

The spelling of 25312920 in words is "twenty-five million, three hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 2971 4260 5942 8520 8913 11884 14855 17826 23768 29710 35652 44565 59420 71304 89130 118840 178260 210941 356520 421882 632823 843764 1054705 1265646 1687528 2109410 2531292 3164115 4218820 5062584 6328230 8437640 12656460 25312920