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10906764 = 22311531559
BaseRepresentation
bin101001100110…
…110010001100
3202112010021020
4221212302030
510243004024
61025434140
7161464101
oct51466214
922463236
1010906764
11617a460
12379b950
13234b50b
14163caa8
15e56979
hexa66c8c

10906764 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 3240640.

The previous prime is 10906759. The next prime is 10906769. The reversal of 10906764 is 46760901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10906759) and next prime (10906769).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10906769) 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 15 ways as a sum of consecutive naturals, for example, 6217 + ... + 7775.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 210906764 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 10906764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

10906764 is an abundant number, since it is smaller than the sum of its proper divisors (17397876).

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

10906764 is a wasteful number, since it uses less digits than its factorization.

10906764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 10906764 is about 3302.5390232365. The cubic root of 10906764 is about 221.7678768475.

The spelling of 10906764 in words is "ten million, nine hundred six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1559 1749 2332 3118 3498 4677 6236 6996 9354 17149 18708 34298 51447 68596 82627 102894 165254 205788 247881 330508 495762 908897 991524 1817794 2726691 3635588 5453382 10906764