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13726044 = 2233731741
BaseRepresentation
bin110100010111…
…000101011100
3221211100121000
4310113011130
512003213134
61210110300
7224445423
oct64270534
927740530
1013726044
117825642
12471b390
132ac7827
141b742ba
151311e99
hexd1715c

13726044 has 48 divisors (see below), whose sum is σ = 36094240. Its totient is φ = 4510080.

The previous prime is 13726003. The next prime is 13726061. The reversal of 13726044 is 44062731.

13726044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13725999 and 13726017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7014 + ... + 8754.

Almost surely, 213726044 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 13726044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18047120).

13726044 is an abundant number, since it is smaller than the sum of its proper divisors (22368196).

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

13726044 is a wasteful number, since it uses less digits than its factorization.

13726044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13726044 is about 3704.8676089707. The cubic root of 13726044 is about 239.4317807571.

Adding to 13726044 its reverse (44062731), we get a palindrome (57788775).

The spelling of 13726044 in words is "thirteen million, seven hundred twenty-six thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1741 1971 2628 3482 3942 5223 6964 7884 10446 15669 20892 31338 47007 62676 94014 127093 188028 254186 381279 508372 762558 1143837 1525116 2287674 3431511 4575348 6863022 13726044