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13748427 = 3371117389
BaseRepresentation
bin110100011100…
…100011001011
3221212111022000
4310130203023
512004422202
61210402043
7224600610
oct64344313
927774260
1013748427
117840440
124730323
132b04a84
141b7c507
15131891c
hexd1c8cb

13748427 has 64 divisors (see below), whose sum is σ = 26956800. Its totient is φ = 6704640.

The previous prime is 13748401. The next prime is 13748429. The reversal of 13748427 is 72484731.

It is a happy number.

13748427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13748427 - 28 = 13748171 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13748391 and 13748400.

It is not an unprimeable number, because it can be changed into a prime (13748429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35149 + ... + 35537.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 213748427 is an apocalyptic number.

13748427 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13748427 is a deficient number, since it is larger than the sum of its proper divisors (13208373).

13748427 is a wasteful number, since it uses less digits than its factorization.

13748427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 13748427 is about 3707.8871342046. The cubic root of 13748427 is about 239.5618568642.

It can be divided in two parts, 1374 and 8427, that added together give a square (9801 = 992).

The spelling of 13748427 in words is "thirteen million, seven hundred forty-eight thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 99 119 153 187 189 231 297 357 389 459 561 693 1071 1167 1309 1683 2079 2723 3213 3501 3927 4279 5049 6613 8169 10503 11781 12837 19839 24507 29953 35343 38511 46291 59517 72743 73521 89859 115533 138873 178551 218229 269577 416619 509201 654687 808731 1249857 1527603 1964061 4582809 13748427