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23791040 = 2657131943
BaseRepresentation
bin101101011000…
…0010111000000
31122202201011122
41122300113000
522042303130
62205531412
7406135430
oct132602700
948681148
1023791040
111247a619
127b73b68
134c0cb50
1432342c0
15214e2e5
hex16b05c0

23791040 has 224 divisors, whose sum is σ = 75102720. Its totient is φ = 6967296.

The previous prime is 23791013. The next prime is 23791051. The reversal of 23791040 is 4019732.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553259 + ... + 553301.

It is an arithmetic number, because the mean of its divisors is an integer number (335280).

Almost surely, 223791040 is an apocalyptic number.

23791040 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 23791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37551360).

23791040 is an abundant number, since it is smaller than the sum of its proper divisors (51311680).

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

23791040 is a wasteful number, since it uses less digits than its factorization.

23791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 23791040 is about 4877.6059701456. The cubic root of 23791040 is about 287.6103269073.

The spelling of 23791040 in words is "twenty-three million, seven hundred ninety-one thousand, forty".