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23920540 = 2257612801
BaseRepresentation
bin101101100111…
…1111110011100
31200000021210221
41123033332130
522110424130
62212411124
7410215120
oct133177634
950007727
1023920540
1112558946
128016aa4
134c56a87
143269580
15217787a
hex16cff9c

23920540 has 48 divisors (see below), whose sum is σ = 58371264. Its totient is φ = 8064000.

The previous prime is 23920531. The next prime is 23920553. The reversal of 23920540 is 4502932.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7140 + ... + 9940.

It is an arithmetic number, because the mean of its divisors is an integer number (1216068).

Almost surely, 223920540 is an apocalyptic number.

23920540 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 23920540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29185632).

23920540 is an abundant number, since it is smaller than the sum of its proper divisors (34450724).

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

23920540 is a wasteful number, since it uses less digits than its factorization.

23920540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 23920540 is about 4890.8629095488. The cubic root of 23920540 is about 288.1312255640.

The spelling of 23920540 in words is "twenty-three million, nine hundred twenty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 2801 4270 5602 8540 11204 14005 19607 28010 39214 56020 78428 98035 170861 196070 341722 392140 683444 854305 1196027 1708610 2392054 3417220 4784108 5980135 11960270 23920540