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23468000 = 25535867
BaseRepresentation
bin101100110000…
…1011111100000
31122011022001012
41121201133200
522001434000
62155000052
7403321553
oct131413740
948138035
1023468000
1112279946
127a39028
134b28aba
14318c69a
1520d8735
hex16617e0

23468000 has 48 divisors (see below), whose sum is σ = 57670704. Its totient is φ = 9385600.

The previous prime is 23467991. The next prime is 23468051. The reversal of 23468000 is 86432.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1067 + ... + 6933.

It is an arithmetic number, because the mean of its divisors is an integer number (1201473).

Almost surely, 223468000 is an apocalyptic number.

23468000 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 23468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28835352).

23468000 is an abundant number, since it is smaller than the sum of its proper divisors (34202704).

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

23468000 is an equidigital number, since it uses as much as digits as its factorization.

23468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 23468000 is about 4844.3781850718. The cubic root of 23468000 is about 286.3026447290.

The spelling of 23468000 in words is "twenty-three million, four hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5867 11734 23468 29335 46936 58670 93872 117340 146675 187744 234680 293350 469360 586700 733375 938720 1173400 1466750 2346800 2933500 4693600 5867000 11734000 23468000