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11870676 = 2232734517
BaseRepresentation
bin101101010010…
…000111010100
3211100002111200
4231102013110
511014330201
61102232500
7202620246
oct55220724
924302450
1011870676
116778684
123b85730
1325c818c
141810096
151097386
hexb521d4

11870676 has 36 divisors (see below), whose sum is σ = 30424212. Its totient is φ = 3901824.

The previous prime is 11870671. The next prime is 11870713. The reversal of 11870676 is 67607811.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2322576 + 9548100 = 1524^2 + 3090^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11870676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11870671) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 370 + ... + 4886.

It is an arithmetic number, because the mean of its divisors is an integer number (845117).

Almost surely, 211870676 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 11870676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212106).

11870676 is an abundant number, since it is smaller than the sum of its proper divisors (18553536).

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

11870676 is a wasteful number, since it uses less digits than its factorization.

11870676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 11870676 is about 3445.3847390386. The cubic root of 11870676 is about 228.1174371922.

The spelling of 11870676 in words is "eleven million, eight hundred seventy thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 4517 9034 13551 18068 27102 40653 54204 81306 162612 329741 659482 989223 1318964 1978446 2967669 3956892 5935338 11870676