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13936472 = 23112943127
BaseRepresentation
bin110101001010…
…011101011000
3222020001020122
4311022131120
512031431342
61214412412
7226313054
oct65123530
928201218
1013936472
117959750
124801108
132b6c544
141bcac64
1513544d2
hexd4a758

13936472 has 64 divisors (see below), whose sum is σ = 30412800. Its totient is φ = 5927040.

The previous prime is 13936471. The next prime is 13936477. The reversal of 13936472 is 27463931.

13936472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (27216) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13936471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109673 + ... + 109799.

It is an arithmetic number, because the mean of its divisors is an integer number (475200).

Almost surely, 213936472 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 13936472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206400).

13936472 is an abundant number, since it is smaller than the sum of its proper divisors (16476328).

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

13936472 is a wasteful number, since it uses less digits than its factorization.

13936472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 13936472 is about 3733.1584482848. The cubic root of 13936472 is about 240.6491223807.

The spelling of 13936472 in words is "thirteen million, nine hundred thirty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 29 43 44 58 86 88 116 127 172 232 254 319 344 473 508 638 946 1016 1247 1276 1397 1892 2494 2552 2794 3683 3784 4988 5461 5588 7366 9976 10922 11176 13717 14732 21844 27434 29464 40513 43688 54868 60071 81026 109736 120142 158369 162052 240284 316738 324104 480568 633476 1266952 1742059 3484118 6968236 13936472