Search a number
-
+
23451120 = 2434571147
BaseRepresentation
bin101100101110…
…1010111110000
31122010102220000
41121131113300
522000413440
62154350000
7403221420
oct131352760
948112800
1023451120
11122681a0
127a2b300
134b21204
143186480
1520d3730
hex165d5f0

23451120 has 400 divisors, whose sum is σ = 103707648. Its totient is φ = 4769280.

The previous prime is 23451067. The next prime is 23451121. The reversal of 23451120 is 2115432.

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

It is a junction number, because it is equal to n+sod(n) for n = 23451093 and 23451102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23451121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 498937 + ... + 498983.

Almost surely, 223451120 is an apocalyptic number.

23451120 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 23451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51853824).

23451120 is an abundant number, since it is smaller than the sum of its proper divisors (80256528).

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

23451120 is a wasteful number, since it uses less digits than its factorization.

23451120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23451120 is about 4842.6356460093. The cubic root of 23451120 is about 286.2339845988.

Adding to 23451120 its reverse (2115432), we get a palindrome (25566552).

The spelling of 23451120 in words is "twenty-three million, four hundred fifty-one thousand, one hundred twenty".