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23963940 = 2232572111319
BaseRepresentation
bin101101101101…
…0100100100100
31200002111100100
41123122210210
522113321230
62213344100
7410455500
oct133324444
950074310
1023963940
1112588510
128038030
134c70760
14327b300
152185660
hex16da924

23963940 has 432 divisors, whose sum is σ = 104569920. Its totient is φ = 4354560.

The previous prime is 23963923. The next prime is 23963941. The reversal of 23963940 is 4936932.

It is a happy number.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a junction number, because it is equal to n+sod(n) for n = 23963895 and 23963904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23963941) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1261251 + ... + 1261269.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 223963940 is an apocalyptic number.

23963940 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 23963940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

23963940 is an abundant number, since it is smaller than the sum of its proper divisors (80605980).

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

23963940 is a wasteful number, since it uses less digits than its factorization.

23963940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 23963940 is about 4895.2977437537. The cubic root of 23963940 is about 288.3053763160.

The spelling of 23963940 in words is "twenty-three million, nine hundred sixty-three thousand, nine hundred forty".