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13442436 = 223475927
BaseRepresentation
bin110011010001…
…110110000100
3221021221120000
4303101312010
511420124221
61200041300
7222154530
oct63216604
927257500
1013442436
117651557
124603230
132a28707
141adcbc0
1512a7e26
hexcd1d84

13442436 has 60 divisors (see below), whose sum is σ = 40168128. Its totient is φ = 3840048.

The previous prime is 13442417. The next prime is 13442441. The reversal of 13442436 is 63424431.

It is a super-2 number, since 2×134424362 = 361398171228192, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 696 + ... + 5231.

Almost surely, 213442436 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 13442436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20084064).

13442436 is an abundant number, since it is smaller than the sum of its proper divisors (26725692).

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

13442436 is a wasteful number, since it uses less digits than its factorization.

13442436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950 (or 5939 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 13442436 is about 3666.3927776494. The cubic root of 13442436 is about 237.7712417208.

Adding to 13442436 its reverse (63424431), we get a palindrome (76866867).

The spelling of 13442436 in words is "thirteen million, four hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 5927 11854 17781 23708 35562 41489 53343 71124 82978 106686 124467 160029 165956 213372 248934 320058 373401 480087 497868 640116 746802 960174 1120203 1493604 1920348 2240406 3360609 4480812 6721218 13442436