Search a number
-
+
11390640 = 2435311531
BaseRepresentation
bin101011011100…
…111010110000
3210102201000120
4223130322300
510404000030
61044050240
7165550602
oct53347260
923381016
1011390640
11647aa58
123993980
13248a831
141727172
151000010
hexadceb0

11390640 has 80 divisors (see below), whose sum is σ = 36473856. Its totient is φ = 2937600.

The previous prime is 11390593. The next prime is 11390641. The reversal of 11390640 is 4609311.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 11390640.

It is not an unprimeable number, because it can be changed into a prime (11390641) 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 15 ways as a sum of consecutive naturals, for example, 6675 + ... + 8205.

Almost surely, 211390640 is an apocalyptic number.

11390640 is a gapful number since it is divisible by the number (10) 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 11390640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18236928).

11390640 is an abundant number, since it is smaller than the sum of its proper divisors (25083216).

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

11390640 is a wasteful number, since it uses less digits than its factorization.

11390640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 11390640 is about 3375.0022222215. The cubic root of 11390640 is about 225.0000987654. Note that the first 4 decimals are identical.

Adding to 11390640 its reverse (4609311), we get a palindrome (15999951).

The spelling of 11390640 in words is "eleven million, three hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1531 1860 2480 3062 3720 4593 6124 7440 7655 9186 12248 15310 18372 22965 24496 30620 36744 45930 47461 61240 73488 91860 94922 122480 142383 183720 189844 237305 284766 367440 379688 474610 569532 711915 759376 949220 1139064 1423830 1898440 2278128 2847660 3796880 5695320 11390640