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13278264 = 2331937787
BaseRepresentation
bin110010101001…
…110000111000
3220222121100120
4302221300320
511344401024
61152333240
7220602066
oct62516070
926877316
1013278264
11754a17a
124544220
13299ba7c
141a99036
151274479
hexca9c38

13278264 has 64 divisors (see below), whose sum is σ = 35932800. Its totient is φ = 4074624.

The previous prime is 13278263. The next prime is 13278289. The reversal of 13278264 is 46287231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13278263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16479 + ... + 17265.

It is an arithmetic number, because the mean of its divisors is an integer number (561450).

Almost surely, 213278264 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 13278264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17966400).

13278264 is an abundant number, since it is smaller than the sum of its proper divisors (22654536).

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

13278264 is a wasteful number, since it uses less digits than its factorization.

13278264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 848 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 13278264 is about 3643.9352354289. The cubic root of 13278264 is about 236.7993102457.

It can be divided in two parts, 1327 and 8264, that added together give a triangular number (9591 = T138).

The spelling of 13278264 in words is "thirteen million, two hundred seventy-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 787 888 1406 1574 2109 2361 2812 3148 4218 4722 5624 6296 8436 9444 14953 16872 18888 29119 29906 44859 58238 59812 87357 89718 116476 119624 174714 179436 232952 349428 358872 553261 698856 1106522 1659783 2213044 3319566 4426088 6639132 13278264