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23725980 = 2233553829
BaseRepresentation
bin101101010000…
…0011110011100
31122122101221000
41122200132130
522033212410
62204310300
7405444645
oct132403634
948571830
1023725980
1112435753
127b42390
134bb9355
1432186cc
152139dc0
hex16a079c

23725980 has 96 divisors (see below), whose sum is σ = 75297600. Its totient is φ = 6200064.

The previous prime is 23725979. The next prime is 23725987. The reversal of 23725980 is 8952732.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23725987) 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, 28206 + ... + 29034.

It is an arithmetic number, because the mean of its divisors is an integer number (784350).

Almost surely, 223725980 is an apocalyptic number.

23725980 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 23725980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37648800).

23725980 is an abundant number, since it is smaller than the sum of its proper divisors (51571620).

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

23725980 is a wasteful number, since it uses less digits than its factorization.

23725980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 23725980 is about 4870.9321489834. The cubic root of 23725980 is about 287.3479170442.

The spelling of 23725980 in words is "twenty-three million, seven hundred twenty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 829 954 1060 1431 1590 1658 1908 2385 2487 2862 3180 3316 4145 4770 4974 5724 7155 7461 8290 9540 9948 12435 14310 14922 16580 22383 24870 28620 29844 37305 43937 44766 49740 74610 87874 89532 111915 131811 149220 175748 219685 223830 263622 395433 439370 447660 527244 659055 790866 878740 1186299 1318110 1581732 1977165 2372598 2636220 3954330 4745196 5931495 7908660 11862990 23725980