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13270376 = 237297349
BaseRepresentation
bin110010100111…
…110101101000
3220222012112102
4302213311220
511344123001
61152232532
7220540100
oct62476550
926865472
1013270376
117544259
12453b748
1329982c2
141a96200
151271e6b
hexca7d68

13270376 has 48 divisors (see below), whose sum is σ = 29326500. Its totient is φ = 5612544.

The previous prime is 13270373. The next prime is 13270399. The reversal of 13270376 is 67307231.

It can be written as a sum of positive squares in 2 ways, for example, as 13147876 + 122500 = 3626^2 + 350^2 .

It is a super-2 number, since 2×132703762 = 352205758362752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13270373) 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 11 ways as a sum of consecutive naturals, for example, 37850 + ... + 38198.

Almost surely, 213270376 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 13270376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14663250).

13270376 is an abundant number, since it is smaller than the sum of its proper divisors (16056124).

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

13270376 is a wasteful number, since it uses less digits than its factorization.

13270376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 13270376 is about 3642.8527282886. The cubic root of 13270376 is about 236.7524104664.

The spelling of 13270376 in words is "thirteen million, two hundred seventy thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 97 98 194 196 349 388 392 679 698 776 1358 1396 2443 2716 2792 4753 4886 5432 9506 9772 17101 19012 19544 33853 34202 38024 67706 68404 135412 136808 236971 270824 473942 947884 1658797 1895768 3317594 6635188 13270376