Search a number
-
+
23867140 = 22511157691
BaseRepresentation
bin101101100001…
…0111100000100
31122220120120011
41123002330010
522102222030
62211320004
7406603333
oct133027404
948816504
1023867140
1112521810
127bb0004
134c3868b
143253d1a
152166b2a
hex16c2f04

23867140 has 48 divisors (see below), whose sum is σ = 55105344. Its totient is φ = 8611200.

The previous prime is 23867089. The next prime is 23867143. The reversal of 23867140 is 4176832.

It is not an unprimeable number, because it can be changed into a prime (23867143) 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, 34195 + ... + 34885.

It is an arithmetic number, because the mean of its divisors is an integer number (1148028).

Almost surely, 223867140 is an apocalyptic number.

23867140 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 23867140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27552672).

23867140 is an abundant number, since it is smaller than the sum of its proper divisors (31238204).

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

23867140 is a wasteful number, since it uses less digits than its factorization.

23867140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 23867140 is about 4885.4007000450. The cubic root of 23867140 is about 287.9166586268.

The spelling of 23867140 in words is "twenty-three million, eight hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 691 785 1382 1570 1727 2764 3140 3454 3455 6908 6910 7601 8635 13820 15202 17270 30404 34540 38005 76010 108487 152020 216974 433948 542435 1084870 1193357 2169740 2386714 4773428 5966785 11933570 23867140