Search a number
-
+
11625380 = 2251361733
BaseRepresentation
bin101100010110…
…001110100100
3210212122000122
4230112032210
510434003010
61053101112
7200546144
oct54261644
923778018
1011625380
116620358
123a87798
132540630
141788924
151049855
hexb163a4

11625380 has 48 divisors (see below), whose sum is σ = 26758704. Its totient is φ = 4216320.

The previous prime is 11625347. The next prime is 11625401. The reversal of 11625380 is 8352611.

It can be written as a sum of positive squares in 8 ways, for example, as 708964 + 10916416 = 842^2 + 3304^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 15494 + ... + 16226.

It is an arithmetic number, because the mean of its divisors is an integer number (557473).

Almost surely, 211625380 is an apocalyptic number.

11625380 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 11625380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13379352).

11625380 is an abundant number, since it is smaller than the sum of its proper divisors (15133324).

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

11625380 is a wasteful number, since it uses less digits than its factorization.

11625380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 11625380 is about 3409.6011496948. The cubic root of 11625380 is about 226.5352130911.

Adding to 11625380 its reverse (8352611), we get a palindrome (19977991).

The spelling of 11625380 in words is "eleven million, six hundred twenty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 733 793 1220 1466 1586 2932 3172 3665 3965 7330 7930 9529 14660 15860 19058 38116 44713 47645 89426 95290 178852 190580 223565 447130 581269 894260 1162538 2325076 2906345 5812690 11625380