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23116140 = 22325167769
BaseRepresentation
bin101100000101…
…1100101101100
31121111102101100
41120023211230
521404204030
62143243100
7400324665
oct130134554
947442340
1023116140
1112059553
1278a9490
134a348b8
1430da36c
152069360
hex160b96c

23116140 has 72 divisors (see below), whose sum is σ = 70630560. Its totient is φ = 6119424.

The previous prime is 23116123. The next prime is 23116193. The reversal of 23116140 is 4161132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29676 + ... + 30444.

It is an arithmetic number, because the mean of its divisors is an integer number (980980).

Almost surely, 223116140 is an apocalyptic number.

23116140 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 23116140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35315280).

23116140 is an abundant number, since it is smaller than the sum of its proper divisors (47514420).

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

23116140 is a wasteful number, since it uses less digits than its factorization.

23116140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 23116140 is about 4807.9247082291. The cubic root of 23116140 is about 284.8645709281.

Adding to 23116140 its reverse (4161132), we get a palindrome (27277272).

The spelling of 23116140 in words is "twenty-three million, one hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 769 835 1002 1503 1538 1670 2004 2307 2505 3006 3076 3340 3845 4614 5010 6012 6921 7515 7690 9228 10020 11535 13842 15030 15380 23070 27684 30060 34605 46140 69210 128423 138420 256846 385269 513692 642115 770538 1155807 1284230 1541076 1926345 2311614 2568460 3852690 4623228 5779035 7705380 11558070 23116140