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13894056 = 23321153331
BaseRepresentation
bin110101000000…
…000110101000
3222010220001200
4311000012220
512024102211
61213444200
7226045311
oct65000650
928126050
1013894056
11792a8a0
1247a0660
132b56147
141bb9608
151346b56
hexd401a8

13894056 has 96 divisors (see below), whose sum is σ = 41951520. Its totient is φ = 4118400.

The previous prime is 13894051. The next prime is 13894081. The reversal of 13894056 is 65049831.

It is a super-2 number, since 2×138940562 = 386089584262272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13894056.

It is not an unprimeable number, because it can be changed into a prime (13894051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41811 + ... + 42141.

It is an arithmetic number, because the mean of its divisors is an integer number (436995).

Almost surely, 213894056 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 13894056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20975760).

13894056 is an abundant number, since it is smaller than the sum of its proper divisors (28057464).

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

13894056 is a wasteful number, since it uses less digits than its factorization.

13894056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13894056 is about 3727.4731387362. The cubic root of 13894056 is about 240.4047337438.

It can be divided in two parts, 1389 and 4056, that added together give a palindrome (5445).

The spelling of 13894056 in words is "thirteen million, eight hundred ninety-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 318 331 396 424 477 583 636 662 792 954 993 1166 1272 1324 1749 1908 1986 2332 2648 2979 3498 3641 3816 3972 4664 5247 5958 6996 7282 7944 10494 10923 11916 13992 14564 17543 20988 21846 23832 29128 32769 35086 41976 43692 52629 65538 70172 87384 105258 131076 140344 157887 192973 210516 262152 315774 385946 421032 578919 631548 771892 1157838 1263096 1543784 1736757 2315676 3473514 4631352 6947028 13894056