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23448960 = 273352359
BaseRepresentation
bin101100101110…
…0110110000000
31122010022221000
41121130312000
522000331320
62154332000
7403212213
oct131346600
948108830
1023448960
1112266607
127a2a000
134b20232
14318577a
1520d2c90
hex165cd80

23448960 has 256 divisors, whose sum is σ = 88128000. Its totient is φ = 5879808.

The previous prime is 23448959. The next prime is 23448973. The reversal of 23448960 is 6984432.

It is a happy number.

It is a super-4 number, since 4×234489604 (a number of 31 digits) contains 4444 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 397411 + ... + 397469.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 223448960 is an apocalyptic number.

23448960 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 23448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).

23448960 is an abundant number, since it is smaller than the sum of its proper divisors (64679040).

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

23448960 is a wasteful number, since it uses less digits than its factorization.

23448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 23448960 is about 4842.4126218240. The cubic root of 23448960 is about 286.2251963278.

It can be divided in two parts, 234 and 48960, that added together give a palindrome (49194).

The spelling of 23448960 in words is "twenty-three million, four hundred forty-eight thousand, nine hundred sixty".