Search a number
-
+
23649700 = 2252613877
BaseRepresentation
bin101101000110…
…1110110100100
31122111112021211
41122031312210
522023242300
62202521204
7405006364
oct132156644
948445254
1023649700
1112393408
127b06204
134b90709
1431d89a4
1521224ba
hex168dda4

23649700 has 36 divisors (see below), whose sum is σ = 52174612. Its totient is φ = 9302400.

The previous prime is 23649679. The next prime is 23649707. The reversal of 23649700 is 794632.

It can be written as a sum of positive squares in 6 ways, for example, as 6937956 + 16711744 = 2634^2 + 4088^2 .

It is not an unprimeable number, because it can be changed into a prime (23649707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4162 + ... + 8038.

Almost surely, 223649700 is an apocalyptic number.

23649700 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 23649700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26087306).

23649700 is an abundant number, since it is smaller than the sum of its proper divisors (28524912).

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

23649700 is a wasteful number, since it uses less digits than its factorization.

23649700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 23649700 is about 4863.0957218628. The cubic root of 23649700 is about 287.0396413171.

The spelling of 23649700 in words is "twenty-three million, six hundred forty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 3877 6100 7754 15508 19385 38770 77540 96925 193850 236497 387700 472994 945988 1182485 2364970 4729940 5912425 11824850 23649700