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23430640 = 2451092687
BaseRepresentation
bin101100101100…
…0010111110000
31122002101210111
41121120113300
521444240030
62154111104
7403104622
oct131302760
948071714
1023430640
1112253872
127a1b494
134b14aac
14317cc12
1520cc62a
hex16585f0

23430640 has 40 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 9282816.

The previous prime is 23430619. The next prime is 23430643. The reversal of 23430640 is 4603432.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23430643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7377 + ... + 10063.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 223430640 is an apocalyptic number.

23430640 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 23430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

23430640 is an abundant number, since it is smaller than the sum of its proper divisors (31565840).

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

23430640 is a wasteful number, since it uses less digits than its factorization.

23430640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 23430640 is about 4840.5206331551. The cubic root of 23430640 is about 286.1506370615.

The spelling of 23430640 in words is "twenty-three million, four hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 2687 4360 5374 8720 10748 13435 21496 26870 42992 53740 107480 214960 292883 585766 1171532 1464415 2343064 2928830 4686128 5857660 11715320 23430640