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13442520 = 23357131231
BaseRepresentation
bin110011010001…
…110111011000
3221021221200010
4303101313120
511420130040
61200041520
7222155010
oct63216730
927257603
1013442520
117651623
1246032a0
132a28770
141adcc40
1512a7e80
hexcd1dd8

13442520 has 128 divisors (see below), whose sum is σ = 49674240. Its totient is φ = 2833920.

The previous prime is 13442483. The next prime is 13442537. The reversal of 13442520 is 2524431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10305 + ... + 11535.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 213442520 is an apocalyptic number.

13442520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837120).

13442520 is an abundant number, since it is smaller than the sum of its proper divisors (36231720).

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

13442520 is a wasteful number, since it uses less digits than its factorization.

13442520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 13442520 is about 3666.4042330327. The cubic root of 13442520 is about 237.7717369868.

Adding to 13442520 its reverse (2524431), we get a palindrome (15966951).

The spelling of 13442520 in words is "thirteen million, four hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1231 1365 1560 1820 2184 2462 2730 3640 3693 4924 5460 6155 7386 8617 9848 10920 12310 14772 16003 17234 18465 24620 25851 29544 32006 34468 36930 43085 48009 49240 51702 64012 68936 73860 80015 86170 96018 103404 112021 128024 129255 147720 160030 172340 192036 206808 224042 240045 258510 320060 336063 344680 384072 448084 480090 517020 560105 640120 672126 896168 960180 1034040 1120210 1344252 1680315 1920360 2240420 2688504 3360630 4480840 6721260 13442520