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11790272 = 261337383
BaseRepresentation
bin101100111110…
…011111000000
3211012000012202
4230332133000
511004242042
61100412332
7202133654
oct54763700
924160182
1011790272
11672322a
123b470a8
13259a6c0
1417cca64
15107d632
hexb3e7c0

11790272 has 56 divisors (see below), whose sum is σ = 25944576. Its totient is φ = 5280768.

The previous prime is 11790227. The next prime is 11790277. The reversal of 11790272 is 27209711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11790277) 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 7 ways as a sum of consecutive naturals, for example, 30593 + ... + 30975.

It is an arithmetic number, because the mean of its divisors is an integer number (463296).

Almost surely, 211790272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972288).

11790272 is an abundant number, since it is smaller than the sum of its proper divisors (14154304).

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

11790272 is a wasteful number, since it uses less digits than its factorization.

11790272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 11790272 is about 3433.6965503667. The cubic root of 11790272 is about 227.6012317662.

Adding to 11790272 its reverse (27209711), we get a palindrome (38999983).

The spelling of 11790272 in words is "eleven million, seven hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 383 416 481 592 766 832 962 1184 1532 1924 2368 3064 3848 4979 6128 7696 9958 12256 14171 15392 19916 24512 28342 30784 39832 56684 79664 113368 159328 184223 226736 318656 368446 453472 736892 906944 1473784 2947568 5895136 11790272