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23142416 = 2411235717
BaseRepresentation
bin101100001001…
…0000000010000
31121112202102112
41120102000100
521411024131
62144004452
7400464413
oct130220020
947482375
1023142416
1112077270
127900728
134a4384b
143105b7a
15207202b
hex1612010

23142416 has 40 divisors (see below), whose sum is σ = 51050304. Its totient is φ = 10060160.

The previous prime is 23142391. The next prime is 23142419. The reversal of 23142416 is 61424132.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 23142391 and 23142400.

It is not an unprimeable number, because it can be changed into a prime (23142419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1190 + ... + 6906.

Almost surely, 223142416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25525152).

23142416 is an abundant number, since it is smaller than the sum of its proper divisors (27907888).

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

23142416 is a wasteful number, since it uses less digits than its factorization.

23142416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5759 (or 5753 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 23142416 is about 4810.6565040543. The cubic root of 23142416 is about 284.9724647656.

Adding to 23142416 its reverse (61424132), we get a palindrome (84566548).

The spelling of 23142416 in words is "twenty-three million, one hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 5717 11434 22868 45736 62887 91472 125774 131491 251548 262982 503096 525964 1006192 1051928 1446401 2103856 2892802 5785604 11571208 23142416