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23725120 = 265151491
BaseRepresentation
bin101101010000…
…0010001000000
31122122100202011
41122200101000
522033200440
62204302304
7405442306
oct132402100
948570664
1023725120
1112435041
127b41994
134bb8b43
143218276
1521399ea
hex16a0440

23725120 has 56 divisors (see below), whose sum is σ = 56985408. Its totient is φ = 9408000.

The previous prime is 23725099. The next prime is 23725127. The reversal of 23725120 is 2152732.

It is a junction number, because it is equal to n+sod(n) for n = 23725091 and 23725100.

It is not an unprimeable number, because it can be changed into a prime (23725127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48075 + ... + 48565.

Almost surely, 223725120 is an apocalyptic number.

23725120 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 23725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28492704).

23725120 is an abundant number, since it is smaller than the sum of its proper divisors (33260288).

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

23725120 is a wasteful number, since it uses less digits than its factorization.

23725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 23725120 is about 4870.8438693927. The cubic root of 23725120 is about 287.3444451512.

Adding to 23725120 its reverse (2152732), we get a palindrome (25877852).

The spelling of 23725120 in words is "twenty-three million, seven hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 151 160 302 320 491 604 755 982 1208 1510 1964 2416 2455 3020 3928 4832 4910 6040 7856 9664 9820 12080 15712 19640 24160 31424 39280 48320 74141 78560 148282 157120 296564 370705 593128 741410 1186256 1482820 2372512 2965640 4745024 5931280 11862560 23725120