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23679201 = 3721312391
BaseRepresentation
bin101101001010…
…1000011100001
31122120000202110
41122111003201
522030213301
62203305533
7405161400
oct132250341
948500673
1023679201
1112403597
127b1b2a9
134ba0c80
143205637
15212b0d6
hex16950e1

23679201 has 24 divisors (see below), whose sum is σ = 39555264. Its totient is φ = 12489120.

The previous prime is 23679179. The next prime is 23679233. The reversal of 23679201 is 10297632.

It is not a de Polignac number, because 23679201 - 26 = 23679137 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (23679241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4285 + ... + 8106.

It is an arithmetic number, because the mean of its divisors is an integer number (1648136).

Almost surely, 223679201 is an apocalyptic number.

23679201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23679201 is a deficient number, since it is larger than the sum of its proper divisors (15876063).

23679201 is a wasteful number, since it uses less digits than its factorization.

23679201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12421 (or 12414 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 23679201 is about 4866.1279268018. The cubic root of 23679201 is about 287.1589442804.

The spelling of 23679201 in words is "twenty-three million, six hundred seventy-nine thousand, two hundred one".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1911 12391 37173 86737 161083 260211 483249 607159 1127581 1821477 3382743 7893067 23679201