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10640364 = 2237197643
BaseRepresentation
bin101000100101…
…101111101100
3202000120211120
4220211233230
510210442424
61020020540
7156304320
oct50455754
922016746
1010640364
116008299
123691750
132287197
1415ad980
15e02a79
hexa25bec

10640364 has 48 divisors (see below), whose sum is σ = 28562688. Its totient is φ = 3019968.

The previous prime is 10640363. The next prime is 10640369. The reversal of 10640364 is 46304601.

It is a super-2 number, since 2×106403642 = 226434692104992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10640363) 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 15 ways as a sum of consecutive naturals, for example, 16227 + ... + 16869.

It is an arithmetic number, because the mean of its divisors is an integer number (595056).

Almost surely, 210640364 is an apocalyptic number.

10640364 is a gapful number since it is divisible by the number (14) 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 10640364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14281344).

10640364 is an abundant number, since it is smaller than the sum of its proper divisors (17922324).

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

10640364 is a wasteful number, since it uses less digits than its factorization.

10640364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 10640364 is about 3261.9570812627. The cubic root of 10640364 is about 219.9473978921.

Adding to 10640364 its reverse (46304601), we get a palindrome (56944965).

It can be divided in two parts, 106 and 40364, that added together give a triangular number (40470 = T284).

The spelling of 10640364 in words is "ten million, six hundred forty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 197 394 591 643 788 1182 1286 1379 1929 2364 2572 2758 3858 4137 4501 5516 7716 8274 9002 13503 16548 18004 27006 54012 126671 253342 380013 506684 760026 886697 1520052 1773394 2660091 3546788 5320182 10640364