Search a number
-
+
23967216 = 24327133159
BaseRepresentation
bin101101101101…
…1010111110000
31200002122211200
41123123113300
522113422331
62213411200
7410501160
oct133332760
950078750
1023967216
111258aa19
128039b00
134c720b0
14327c5a0
1521865e6
hex16db5f0

23967216 has 240 divisors, whose sum is σ = 86661120. Its totient is φ = 6013440.

The previous prime is 23967197. The next prime is 23967221. The reversal of 23967216 is 61276932.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 406195 + ... + 406253.

It is an arithmetic number, because the mean of its divisors is an integer number (361088).

Almost surely, 223967216 is an apocalyptic number.

23967216 is a gapful number since it is divisible by the number (26) 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 23967216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43330560).

23967216 is an abundant number, since it is smaller than the sum of its proper divisors (62693904).

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

23967216 is a wasteful number, since it uses less digits than its factorization.

23967216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 23967216 is about 4895.6323391366. The cubic root of 23967216 is about 288.3185133513.

The spelling of 23967216 in words is "twenty-three million, nine hundred sixty-seven thousand, two hundred sixteen".