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23730840 = 2333574373
BaseRepresentation
bin101101010000…
…1101010011000
31122122122121000
41122201222120
522033341330
62204345000
7405465060
oct132415230
948578530
1023730840
1112439371
127b45160
134bbb623
14321a3a0
15213b560
hex16a1a98

23730840 has 256 divisors, whose sum is σ = 93772800. Its totient is φ = 5225472.

The previous prime is 23730823. The next prime is 23730851. The reversal of 23730840 is 4803732.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325044 + ... + 325116.

It is an arithmetic number, because the mean of its divisors is an integer number (366300).

Almost surely, 223730840 is an apocalyptic number.

23730840 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 23730840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46886400).

23730840 is an abundant number, since it is smaller than the sum of its proper divisors (70041960).

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

23730840 is a wasteful number, since it uses less digits than its factorization.

23730840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23730840 is about 4871.4310012562. The cubic root of 23730840 is about 287.3675357004.

The spelling of 23730840 in words is "twenty-three million, seven hundred thirty thousand, eight hundred forty".