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23106720 = 2535713232
BaseRepresentation
bin101100000100…
…1010010100000
31121110221110110
41120021102200
521403403340
62143131320
7400255350
oct130112240
947427413
1023106720
111205246a
1278a3b40
134a30520
1430d6b60
152066680
hex16094a0

23106720 has 288 divisors, whose sum is σ = 93647232. Its totient is φ = 4663296.

The previous prime is 23106709. The next prime is 23106731. The reversal of 23106720 is 2760132.

23106720 = T105 + T106 + ... + T518.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23106709) and next prime (23106731).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004629 + ... + 1004651.

It is an arithmetic number, because the mean of its divisors is an integer number (325164).

Almost surely, 223106720 is an apocalyptic number.

23106720 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 23106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46823616).

23106720 is an abundant number, since it is smaller than the sum of its proper divisors (70540512).

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

23106720 is a wasteful number, since it uses less digits than its factorization.

23106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 23106720 is about 4806.9449757616. The cubic root of 23106720 is about 284.8258708561.

Adding to 23106720 its reverse (2760132), we get a palindrome (25866852).

The spelling of 23106720 in words is "twenty-three million, one hundred six thousand, seven hundred twenty".