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23540140 = 22513372447
BaseRepresentation
bin101100111001…
…1000110101100
31122021222000001
41121303012230
522011241030
62200314044
7404042101
oct131630654
948258001
1023540140
1112319068
127a72924
134b528a0
1431aaaa8
1520eecca
hex16731ac

23540140 has 48 divisors (see below), whose sum is σ = 54698112. Its totient is φ = 8453376.

The previous prime is 23540137. The next prime is 23540147. The reversal of 23540140 is 4104532.

It is not an unprimeable number, because it can be changed into a prime (23540147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8397 + ... + 10843.

It is an arithmetic number, because the mean of its divisors is an integer number (1139544).

Almost surely, 223540140 is an apocalyptic number.

23540140 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 23540140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27349056).

23540140 is an abundant number, since it is smaller than the sum of its proper divisors (31157972).

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

23540140 is a wasteful number, since it uses less digits than its factorization.

23540140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 23540140 is about 4851.8182158857. The cubic root of 23540140 is about 286.5957068521.

Adding to 23540140 its reverse (4104532), we get a palindrome (27644672).

The spelling of 23540140 in words is "twenty-three million, five hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 2447 4810 4894 9620 9788 12235 24470 31811 48940 63622 90539 127244 159055 181078 318110 362156 452695 636220 905390 1177007 1810780 2354014 4708028 5885035 11770070 23540140