Search a number
-
+
23140260 = 2232511132931
BaseRepresentation
bin101100001000…
…1011110100100
31121112122110200
41120101132210
521410442020
62143550500
7400455213
oct130213644
947478420
1023140260
1112075690
1278bb430
134a42880
14310507a
152071590
hex16117a4

23140260 has 288 divisors, whose sum is σ = 88058880. Its totient is φ = 4838400.

The previous prime is 23140241. The next prime is 23140279. The reversal of 23140260 is 6204132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23140241) and next prime (23140279).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 746445 + ... + 746475.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 223140260 is an apocalyptic number.

23140260 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 23140260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

23140260 is an abundant number, since it is smaller than the sum of its proper divisors (64918620).

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

23140260 is a wasteful number, since it uses less digits than its factorization.

23140260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23140260 is about 4810.4324129957. The cubic root of 23140260 is about 284.9636149303.

Adding to 23140260 its reverse (6204132), we get a palindrome (29344392).

The spelling of 23140260 in words is "twenty-three million, one hundred forty thousand, two hundred sixty".