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12270753 = 32111723317
BaseRepresentation
bin101110110011…
…110010100001
3212002102022100
4232303302201
511120131003
61115001013
7206204535
oct56636241
925072270
1012270753
116a21220
124139169
132708301
1418b5bc5
151125ba3
hexbb3ca1

12270753 has 48 divisors (see below), whose sum is σ = 21430656. Its totient is φ = 6673920.

The previous prime is 12270749. The next prime is 12270757. The reversal of 12270753 is 35707221.

It is an interprime number because it is at equal distance from previous prime (12270749) and next prime (12270757).

It is not a de Polignac number, because 12270753 - 22 = 12270749 is a prime.

It is a super-3 number, since 3×122707533 (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12270757) 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 47 ways as a sum of consecutive naturals, for example, 38551 + ... + 38867.

It is an arithmetic number, because the mean of its divisors is an integer number (446472).

Almost surely, 212270753 is an apocalyptic number.

It is an amenable number.

12270753 is a deficient number, since it is larger than the sum of its proper divisors (9159903).

12270753 is a wasteful number, since it uses less digits than its factorization.

12270753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 12270753 is about 3502.9634597009. The cubic root of 12270753 is about 230.6519185536.

Adding to 12270753 its reverse (35707221), we get a palindrome (47977974).

It can be divided in two parts, 122707 and 53, that added together give a triangular number (122760 = T495).

The spelling of 12270753 in words is "twelve million, two hundred seventy thousand, seven hundred fifty-three".

Divisors: 1 3 9 11 17 23 33 51 69 99 153 187 207 253 317 391 561 759 951 1173 1683 2277 2853 3487 3519 4301 5389 7291 10461 12903 16167 21873 31383 38709 48501 59279 65619 80201 123947 177837 240603 371841 533511 721809 1115523 1363417 4090251 12270753