Search a number
-
+
1326466638 = 233716721013
BaseRepresentation
bin100111100010000…
…0100011001001110
310102102222111011000
41033010010121032
510204033413023
6335342441130
744604531450
oct11704043116
93372874130
101326466638
11620835022
123102931a6
13181a73903
14c82502d0
157b6bc243
hex4f10464e

1326466638 has 64 divisors (see below), whose sum is σ = 3389137920. Its totient is φ = 376703136.

The previous prime is 1326466637. The next prime is 1326466679. The reversal of 1326466638 is 8366646231.

It is a super-3 number, since 3×13264666383 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1326466593 and 1326466602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326466637) 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 31 ways as a sum of consecutive naturals, for example, 52620 + ... + 73632.

It is an arithmetic number, because the mean of its divisors is an integer number (52955280).

Almost surely, 21326466638 is an apocalyptic number.

1326466638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1326466638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694568960).

1326466638 is an abundant number, since it is smaller than the sum of its proper divisors (2062671282).

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

1326466638 is a wasteful number, since it uses less digits than its factorization.

1326466638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21198 (or 21192 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 1326466638 is about 36420.6896969291. The cubic root of 1326466638 is about 1098.7497193910.

It can be divided in two parts, 1326466 and 638, that added together give a square (1327104 = 11522).

The spelling of 1326466638 in words is "one billion, three hundred twenty-six million, four hundred sixty-six thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 167 189 334 378 501 1002 1169 1503 2338 3006 3507 4509 7014 9018 10521 21013 21042 31563 42026 63039 63126 126078 147091 189117 294182 378234 441273 567351 882546 1134702 1323819 2647638 3509171 3971457 7018342 7942914 10527513 21055026 24564197 31582539 49128394 63165078 73692591 94747617 147385182 189495234 221077773 442155546 663233319 1326466638