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23306640 = 2435713873
BaseRepresentation
bin101100011101…
…0000110010000
31121212002200220
41120322012100
521431303030
62151313040
7402050250
oct130720620
947762626
1023306640
1112179695
12797b780
134aa0516
143149960
1520a5a10
hex163a190

23306640 has 80 divisors (see below), whose sum is σ = 82578048. Its totient is φ = 5326848.

The previous prime is 23306629. The next prime is 23306641. The reversal of 23306640 is 4660332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23306640.

It is not an unprimeable number, because it can be changed into a prime (23306641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5257 + ... + 8616.

Almost surely, 223306640 is an apocalyptic number.

23306640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23306640 is an abundant number, since it is smaller than the sum of its proper divisors (59271408).

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

23306640 is a wasteful number, since it uses less digits than its factorization.

23306640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13896 (or 13890 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 23306640 is about 4827.6951022201. The cubic root of 23306640 is about 285.6449536533.

Adding to 23306640 its reverse (4660332), we get a palindrome (27966972).

The spelling of 23306640 in words is "twenty-three million, three hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 13873 27746 41619 55492 69365 83238 97111 110984 138730 166476 194222 208095 221968 277460 291333 332952 388444 416190 485555 554920 582666 665904 776888 832380 971110 1109840 1165332 1456665 1553776 1664760 1942220 2330664 2913330 3329520 3884440 4661328 5826660 7768880 11653320 23306640