Search a number
-
+
23485140 = 22345719109
BaseRepresentation
bin101100110010…
…1101011010100
31122012011120000
41121211223110
522003011030
62155211300
7403422540
oct131455324
948164500
1023485140
1112290808
127a46b30
134b33843
143194a20
1520dd860
hex1665ad4

23485140 has 240 divisors, whose sum is σ = 89443200. Its totient is φ = 5038848.

The previous prime is 23485123. The next prime is 23485141. The reversal of 23485140 is 4158432.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23485141) 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 79 ways as a sum of consecutive naturals, for example, 215406 + ... + 215514.

It is an arithmetic number, because the mean of its divisors is an integer number (372680).

Almost surely, 223485140 is an apocalyptic number.

23485140 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 23485140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44721600).

23485140 is an abundant number, since it is smaller than the sum of its proper divisors (65958060).

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

23485140 is a wasteful number, since it uses less digits than its factorization.

23485140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 23485140 is about 4846.1469230720. The cubic root of 23485140 is about 286.3723287405.

The spelling of 23485140 in words is "twenty-three million, four hundred eighty-five thousand, one hundred forty".