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1326263136 = 253111255931
BaseRepresentation
bin100111100001101…
…0010101101100000
310102102121010222220
41033003102231200
510204010410021
6335334231040
744603023242
oct11703225540
93372533886
101326263136
11620706140
123101b5480
13181a020b3
14c81da092
157b67bcc6
hex4f0d2b60

1326263136 has 48 divisors (see below), whose sum is σ = 3797938368. Its totient is φ = 401897600.

The previous prime is 1326263131. The next prime is 1326263207. The reversal of 1326263136 is 6313626231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1326263097 and 1326263106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326263131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626910 + ... + 629021.

It is an arithmetic number, because the mean of its divisors is an integer number (79123716).

Almost surely, 21326263136 is an apocalyptic number.

1326263136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1326263136 is an abundant number, since it is smaller than the sum of its proper divisors (2471675232).

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

1326263136 is a wasteful number, since it uses less digits than its factorization.

1326263136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255955 (or 1255947 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 1326263136 is about 36417.8958205990. The cubic root of 1326263136 is about 1098.6935277023.

Adding to 1326263136 its reverse (6313626231), we get a palindrome (7639889367).

It can be divided in two parts, 1326 and 263136, that added together give a palindrome (264462).

The spelling of 1326263136 in words is "one billion, three hundred twenty-six million, two hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1255931 2511862 3767793 5023724 7535586 10047448 13815241 15071172 20094896 27630482 30142344 40189792 41445723 55260964 60284688 82891446 110521928 120569376 165782892 221043856 331565784 442087712 663131568 1326263136