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11332380 = 2235672819
BaseRepresentation
bin101011001110…
…101100011100
3210022202002210
4223032230130
510400114010
61042520420
7165216003
oct53165434
923282083
1011332380
116440204
123966110
13246a167
14170dc3a
15edcb20
hexaceb1c

11332380 has 48 divisors (see below), whose sum is σ = 32215680. Its totient is φ = 2975808.

The previous prime is 11332367. The next prime is 11332393. The reversal of 11332380 is 8323311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11332367) and next prime (11332393).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

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, 2611 + ... + 5429.

It is an arithmetic number, because the mean of its divisors is an integer number (671160).

Almost surely, 211332380 is an apocalyptic number.

11332380 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 11332380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16107840).

11332380 is an abundant number, since it is smaller than the sum of its proper divisors (20883300).

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

11332380 is a wasteful number, since it uses less digits than its factorization.

11332380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 11332380 is about 3366.3600520443. The cubic root of 11332380 is about 224.6158382884.

Adding to 11332380 its reverse (8323311), we get a palindrome (19655691).

The spelling of 11332380 in words is "eleven million, three hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 2819 4020 5638 8457 11276 14095 16914 28190 33828 42285 56380 84570 169140 188873 377746 566619 755492 944365 1133238 1888730 2266476 2833095 3777460 5666190 11332380