Search a number
-
+
23191860 = 2235834657
BaseRepresentation
bin101100001111…
…0000100110100
31121122021020210
41120132010310
521414114420
62145025420
7401061516
oct130360464
947567223
1023191860
111210042a
127925270
134a601c3
143119bb6
1520819e0
hex161e134

23191860 has 48 divisors (see below), whose sum is σ = 65733696. Its totient is φ = 6108672.

The previous prime is 23191853. The next prime is 23191867. The reversal of 23191860 is 6819132.

It is an interprime number because it is at equal distance from previous prime (23191853) and next prime (23191867).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23191867) 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 15 ways as a sum of consecutive naturals, for example, 2652 + ... + 7308.

It is an arithmetic number, because the mean of its divisors is an integer number (1369452).

Almost surely, 223191860 is an apocalyptic number.

23191860 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 23191860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32866848).

23191860 is an abundant number, since it is smaller than the sum of its proper divisors (42541836).

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

23191860 is a wasteful number, since it uses less digits than its factorization.

23191860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 23191860 is about 4815.7927696279. The cubic root of 23191860 is about 285.1752692300.

The spelling of 23191860 in words is "twenty-three million, one hundred ninety-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4657 4980 9314 13971 18628 23285 27942 46570 55884 69855 93140 139710 279420 386531 773062 1159593 1546124 1932655 2319186 3865310 4638372 5797965 7730620 11595930 23191860