Search a number
-
+
10964436 = 2237229643
BaseRepresentation
bin101001110100…
…110111010100
3202122001101020
4221310313110
510301330221
61031001140
7162124200
oct51646724
922561336
1010964436
11620981a
1238091b0
13236b842
141655b00
15e68ac6
hexa74dd4

10964436 has 72 divisors (see below), whose sum is σ = 30834720. Its totient is φ = 3019968.

The previous prime is 10964431. The next prime is 10964449. The reversal of 10964436 is 63446901.

It is a junction number, because it is equal to n+sod(n) for n = 10964397 and 10964406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10964431) 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 23 ways as a sum of consecutive naturals, for example, 16731 + ... + 17373.

It is an arithmetic number, because the mean of its divisors is an integer number (428260).

Almost surely, 210964436 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 10964436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15417360).

10964436 is an abundant number, since it is smaller than the sum of its proper divisors (19870284).

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

10964436 is a wasteful number, since it uses less digits than its factorization.

10964436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 10964436 is about 3311.2589750728. The cubic root of 10964436 is about 222.1580726317.

The spelling of 10964436 in words is "ten million, nine hundred sixty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 643 812 1218 1286 1421 1929 2436 2572 2842 3858 4263 4501 5684 7716 8526 9002 13503 17052 18004 18647 27006 31507 37294 54012 55941 63014 74588 94521 111882 126028 130529 189042 223764 261058 378084 391587 522116 783174 913703 1566348 1827406 2741109 3654812 5482218 10964436