Search a number
-
+
13707126 = 23223113293
BaseRepresentation
bin110100010010…
…011101110110
3221210101122100
4310102131312
512002112001
61205442530
7224336316
oct64223566
927711570
1013707126
117812404
124710446
132abc034
141b6b446
15130b586
hexd12776

13707126 has 48 divisors (see below), whose sum is σ = 31370976. Its totient is φ = 4316928.

The previous prime is 13707121. The next prime is 13707139. The reversal of 13707126 is 62170731.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13707126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13707121) 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 23 ways as a sum of consecutive naturals, for example, 46636 + ... + 46928.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 213707126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13707126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488).

13707126 is an abundant number, since it is smaller than the sum of its proper divisors (17663850).

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

13707126 is a wasteful number, since it uses less digits than its factorization.

13707126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 13707126 is about 3702.3136009798. The cubic root of 13707126 is about 239.3217307676.

Adding to 13707126 its reverse (62170731), we get a palindrome (75877857).

The spelling of 13707126 in words is "thirteen million, seven hundred seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 46 69 113 138 207 226 293 339 414 586 678 879 1017 1758 2034 2599 2637 5198 5274 6739 7797 13478 15594 20217 23391 33109 40434 46782 60651 66218 99327 121302 198654 297981 595962 761507 1523014 2284521 4569042 6853563 13707126