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11359380 = 2235832281
BaseRepresentation
bin101011010101…
…010010010100
3210101010010210
4223111102110
510402000010
61043245420
7165360504
oct53252224
923333123
1011359380
11645951a
123979870
132479536
141719a04
15ee5b20
hexad5494

11359380 has 48 divisors (see below), whose sum is σ = 32203584. Its totient is φ = 2991360.

The previous prime is 11359373. The next prime is 11359393. The reversal of 11359380 is 8395311.

It is a happy number.

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 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, 3840 + ... + 6120.

It is an arithmetic number, because the mean of its divisors is an integer number (670908).

Almost surely, 211359380 is an apocalyptic number.

11359380 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 11359380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16101792).

11359380 is an abundant number, since it is smaller than the sum of its proper divisors (20844204).

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

11359380 is a wasteful number, since it uses less digits than its factorization.

11359380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2374 counting only the distinct ones).

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

The square root of 11359380 is about 3370.3679324371. The cubic root of 11359380 is about 224.7940832103.

The spelling of 11359380 in words is "eleven million, three hundred fifty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2281 2490 4562 4980 6843 9124 11405 13686 22810 27372 34215 45620 68430 136860 189323 378646 567969 757292 946615 1135938 1893230 2271876 2839845 3786460 5679690 11359380