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13923000 = 23325371317
BaseRepresentation
bin110101000111…
…001010111000
3222012100202200
4311013022320
512031014000
61214230200
7226225560
oct65071270
928170680
1013923000
11794a613
1247b5360
132b66380
141bc5da0
151350500
hexd472b8

13923000 has 384 divisors, whose sum is σ = 61326720. Its totient is φ = 2764800.

The previous prime is 13922977. The next prime is 13923011. The reversal of 13923000 is 32931.

13923000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818992 + ... + 819008.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 213923000 is an apocalyptic number.

13923000 is a gapful number since it is divisible by the number (10) 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 13923000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

13923000 is an abundant number, since it is smaller than the sum of its proper divisors (47403720).

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

13923000 is a wasteful number, since it uses less digits than its factorization.

13923000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13923000 is about 3731.3536417767. The cubic root of 13923000 is about 240.5715544425.

Adding to 13923000 its reverse (32931), we get a palindrome (13955931).

The spelling of 13923000 in words is "thirteen million, nine hundred twenty-three thousand".