Search a number
-
+
11339580 = 2235731929
BaseRepresentation
bin101011010000…
…011100111100
3210100002222110
4223100130330
510400331310
61043014020
7165246000
oct53203474
923302873
1011339580
11644565a
12396a310
132470515
141712700
15eded20
hexad073c

11339580 has 192 divisors, whose sum is σ = 40320000. Its totient is φ = 2370816.

The previous prime is 11339569. The next prime is 11339593. The reversal of 11339580 is 8593311.

It is a happy number.

11339580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391006 + ... + 391034.

It is an arithmetic number, because the mean of its divisors is an integer number (210000).

Almost surely, 211339580 is an apocalyptic number.

11339580 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 11339580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160000).

11339580 is an abundant number, since it is smaller than the sum of its proper divisors (28980420).

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

11339580 is a wasteful number, since it uses less digits than its factorization.

11339580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 11339580 is about 3367.4292865627. The cubic root of 11339580 is about 224.6633979259.

It can be divided in two parts, 113 and 39580, that added together give a palindrome (39693).

The spelling of 11339580 in words is "eleven million, three hundred thirty-nine thousand, five hundred eighty".