Search a number
-
+
23679440 = 245295993
BaseRepresentation
bin101101001010…
…1000111010000
31122120001002022
41122111013100
522030220230
62203311012
7405162161
oct132250720
948501068
1023679440
1112403794
127b1b468
134ba1105
143205768
15212b1e5
hex16951d0

23679440 has 20 divisors (see below), whose sum is σ = 55054884. Its totient is φ = 9471744.

The previous prime is 23679437. The next prime is 23679497. The reversal of 23679440 is 4497632.

It can be written as a sum of positive squares in 2 ways, for example, as 2849344 + 20830096 = 1688^2 + 4564^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 23679440.

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 3 ways as a sum of consecutive naturals, for example, 147917 + ... + 148076.

Almost surely, 223679440 is an apocalyptic number.

23679440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23679440 is an abundant number, since it is smaller than the sum of its proper divisors (31375444).

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

23679440 is a wasteful number, since it uses less digits than its factorization.

23679440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296006 (or 296000 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 23679440 is about 4866.1524842528. The cubic root of 23679440 is about 287.1599103991.

The spelling of 23679440 in words is "twenty-three million, six hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 295993 591986 1183972 1479965 2367944 2959930 4735888 5919860 11839720 23679440