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23872740 = 22351943487
BaseRepresentation
bin101101100010…
…0010011100100
31122220212020120
41123010103210
522102411430
62211401540
7406625553
oct133042344
948825216
1023872740
1112525a41
127bb32b0
134c3b0a8
143255d9a
152168610
hex16c44e4

23872740 has 96 divisors (see below), whose sum is σ = 72145920. Its totient is φ = 5878656.

The previous prime is 23872729. The next prime is 23872747. The reversal of 23872740 is 4727832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23872747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48777 + ... + 49263.

It is an arithmetic number, because the mean of its divisors is an integer number (751520).

Almost surely, 223872740 is an apocalyptic number.

23872740 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 23872740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36072960).

23872740 is an abundant number, since it is smaller than the sum of its proper divisors (48273180).

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

23872740 is a wasteful number, since it uses less digits than its factorization.

23872740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 23872740 is about 4885.9738026314. The cubic root of 23872740 is about 287.9391750406.

The spelling of 23872740 in words is "twenty-three million, eight hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 43 57 60 76 86 95 114 129 172 190 215 228 258 285 380 430 487 516 570 645 817 860 974 1140 1290 1461 1634 1948 2435 2451 2580 2922 3268 4085 4870 4902 5844 7305 8170 9253 9740 9804 12255 14610 16340 18506 20941 24510 27759 29220 37012 41882 46265 49020 55518 62823 83764 92530 104705 111036 125646 138795 185060 209410 251292 277590 314115 397879 418820 555180 628230 795758 1193637 1256460 1591516 1989395 2387274 3978790 4774548 5968185 7957580 11936370 23872740