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23142460 = 22511273131
BaseRepresentation
bin101100001001…
…0000000111100
31121112202111011
41120102000330
521411024320
62144005004
7400464505
oct130220074
947482434
1023142460
1112077300
127900764
134a43883
143105bac
15207205a
hex161203c

23142460 has 72 divisors (see below), whose sum is σ = 54564048. Its totient is φ = 8236800.

The previous prime is 23142421. The next prime is 23142463. The reversal of 23142460 is 6424132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23142463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176595 + ... + 176725.

It is an arithmetic number, because the mean of its divisors is an integer number (757834).

Almost surely, 223142460 is an apocalyptic number.

23142460 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 23142460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27282024).

23142460 is an abundant number, since it is smaller than the sum of its proper divisors (31421588).

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

23142460 is a wasteful number, since it uses less digits than its factorization.

23142460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 23142460 is about 4810.6610772325. The cubic root of 23142460 is about 284.9726453688.

Adding to 23142460 its reverse (6424132), we get a palindrome (29566592).

It can be divided in two parts, 2314 and 2460, that added together give a palindrome (4774).

The spelling of 23142460 in words is "twenty-three million, one hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 121 131 146 220 242 262 292 365 484 524 605 655 730 803 1210 1310 1441 1460 1606 2420 2620 2882 3212 4015 5764 7205 8030 8833 9563 14410 15851 16060 17666 19126 28820 31702 35332 38252 44165 47815 63404 79255 88330 95630 105193 158510 176660 191260 210386 317020 420772 525965 1051930 1157123 2103860 2314246 4628492 5785615 11571230 23142460