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13442856 = 233732371
BaseRepresentation
bin110011010001…
…111100101000
3221021222010120
4303101330220
511420132411
61200043240
7222156000
oct63217450
927258116
1013442856
1176518a9
124603520
132a2896b
141add000
1512a8106
hexcd1f28

13442856 has 128 divisors (see below), whose sum is σ = 41472000. Its totient is φ = 3622080.

The previous prime is 13442831. The next prime is 13442857. The reversal of 13442856 is 65824431.

13442856 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13442856 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442857) 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, 189301 + ... + 189371.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 213442856 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 13442856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

13442856 is an abundant number, since it is smaller than the sum of its proper divisors (28029144).

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

13442856 is a wasteful number, since it uses less digits than its factorization.

13442856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 13442856 is about 3666.4500542077. The cubic root of 13442856 is about 237.7737180300.

The spelling of 13442856 in words is "thirteen million, four hundred forty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 49 56 69 71 84 92 98 138 142 147 161 168 184 196 213 276 284 294 322 343 392 426 483 497 552 568 588 644 686 852 966 994 1029 1127 1176 1288 1372 1491 1633 1704 1932 1988 2058 2254 2744 2982 3266 3381 3479 3864 3976 4116 4508 4899 5964 6532 6762 6958 7889 8232 9016 9798 10437 11431 11928 13064 13524 13916 15778 19596 20874 22862 23667 24353 27048 27832 31556 34293 39192 41748 45724 47334 48706 63112 68586 73059 80017 83496 91448 94668 97412 137172 146118 160034 189336 194824 240051 274344 292236 320068 480102 560119 584472 640136 960204 1120238 1680357 1920408 2240476 3360714 4480952 6721428 13442856