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13342056 = 23371341149
BaseRepresentation
bin110010111001…
…010101101000
3221002211212020
4302321111220
511403421211
61153544440
7221256060
oct62712550
927084766
1013342056
1175930a2
124575120
1329c1b10
141ab43a0
151288306
hexcb9568

13342056 has 128 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 3409920.

The previous prime is 13342037. The next prime is 13342057. The reversal of 13342056 is 65024331.

It is a happy number.

13342056 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89470 + ... + 89618.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 213342056 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 13342056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

13342056 is an abundant number, since it is smaller than the sum of its proper divisors (28993944).

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

13342056 is a wasteful number, since it uses less digits than its factorization.

13342056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 13342056 is about 3652.6779217445. The cubic root of 13342056 is about 237.1779183518.

Adding to 13342056 its reverse (65024331), we get a palindrome (78366387).

The spelling of 13342056 in words is "thirteen million, three hundred forty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 41 42 52 56 78 82 84 91 104 123 149 156 164 168 182 246 273 287 298 312 328 364 447 492 533 546 574 596 728 861 894 984 1043 1066 1092 1148 1192 1599 1722 1788 1937 2086 2132 2184 2296 3129 3198 3444 3576 3731 3874 4172 4264 5811 6109 6258 6396 6888 7462 7748 8344 11193 11622 12218 12516 12792 13559 14924 15496 18327 22386 23244 24436 25032 27118 29848 36654 40677 42763 44772 46488 48872 54236 73308 79417 81354 85526 89544 108472 128289 146616 158834 162708 171052 238251 256578 317668 325416 342104 476502 513156 555919 635336 953004 1026312 1111838 1667757 1906008 2223676 3335514 4447352 6671028 13342056