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23120440 = 2357711163
BaseRepresentation
bin101100000110…
…0101000111000
31121111122021121
41120030220320
521404323230
62143315024
7400343350
oct130145070
947448247
1023120440
1112061802
1278aba74
134a36845
1430dbb60
15206a77a
hex160ca38

23120440 has 64 divisors (see below), whose sum is σ = 60341760. Its totient is φ = 7808640.

The previous prime is 23120431. The next prime is 23120443. The reversal of 23120440 is 4402132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23120443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19299 + ... + 20461.

It is an arithmetic number, because the mean of its divisors is an integer number (942840).

Almost surely, 223120440 is an apocalyptic number.

23120440 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 23120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30170880).

23120440 is an abundant number, since it is smaller than the sum of its proper divisors (37221320).

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

23120440 is a wasteful number, since it uses less digits than its factorization.

23120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 23120440 is about 4808.3718658190. The cubic root of 23120440 is about 284.8822330711.

Adding to 23120440 its reverse (4402132), we get a palindrome (27522572).

The spelling of 23120440 in words is "twenty-three million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 994 1163 1420 1988 2326 2485 2840 3976 4652 4970 5815 8141 9304 9940 11630 16282 19880 23260 32564 40705 46520 65128 81410 82573 162820 165146 325640 330292 412865 578011 660584 825730 1156022 1651460 2312044 2890055 3302920 4624088 5780110 11560220 23120440