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11764728 = 2332533083
BaseRepresentation
bin101100111000…
…001111111000
3211010201011200
4230320033320
511002432403
61100054200
7201666333
oct54701770
924121150
1011764728
116706018
123b34360
13258bba1
1417c361a
151075ca3
hexb383f8

11764728 has 48 divisors (see below), whose sum is σ = 32474520. Its totient is φ = 3846336.

The previous prime is 11764723. The next prime is 11764747. The reversal of 11764728 is 82746711.

11764728 is a `hidden beast` number, since 1 + 1 + 7 + 647 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11764692 and 11764701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11764721) 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 11 ways as a sum of consecutive naturals, for example, 2275 + ... + 5357.

Almost surely, 211764728 is an apocalyptic number.

11764728 is a gapful number since it is divisible by the number (18) 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 11764728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16237260).

11764728 is an abundant number, since it is smaller than the sum of its proper divisors (20709792).

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

11764728 is a wasteful number, since it uses less digits than its factorization.

11764728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3141 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 11764728 is about 3429.9749270221. The cubic root of 11764728 is about 227.4367444794.

The spelling of 11764728 in words is "eleven million, seven hundred sixty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3083 3816 6166 9249 12332 18498 24664 27747 36996 55494 73992 110988 163399 221976 326798 490197 653596 980394 1307192 1470591 1960788 2941182 3921576 5882364 11764728