Search a number
-
+
23649440 = 255791871
BaseRepresentation
bin101101000110…
…1110010100000
31122111111221012
41122031302200
522023240230
62202520052
7405005543
oct132156240
948444835
1023649440
11123931a1
127b06028
134b90569
1431d885a
152122395
hex168dca0

23649440 has 48 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 9335040.

The previous prime is 23649427. The next prime is 23649443. The reversal of 23649440 is 4494632.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 23649397 and 23649406.

It is not an unprimeable number, because it can be changed into a prime (23649443) 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 7 ways as a sum of consecutive naturals, for example, 11705 + ... + 13575.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 223649440 is an apocalyptic number.

23649440 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 23649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

23649440 is an abundant number, since it is smaller than the sum of its proper divisors (32959840).

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

23649440 is a wasteful number, since it uses less digits than its factorization.

23649440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 23649440 is about 4863.0689898458. The cubic root of 23649440 is about 287.0385894280.

The spelling of 23649440 in words is "twenty-three million, six hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 1871 2528 3160 3742 6320 7484 9355 12640 14968 18710 29936 37420 59872 74840 147809 149680 295618 299360 591236 739045 1182472 1478090 2364944 2956180 4729888 5912360 11824720 23649440