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13522140 = 2234517491
BaseRepresentation
bin110011100101…
…010011011100
3221102222220000
4303211103130
511430202030
61201454300
7222636102
oct63452334
927388800
1013522140
1176a6425
124641390
132a55a88
141b1dc72
1512c1860
hexce54dc

13522140 has 120 divisors (see below), whose sum is σ = 45006192. Its totient is φ = 3386880.

The previous prime is 13522133. The next prime is 13522147. The reversal of 13522140 is 4122531.

13522140 is a `hidden beast` number, since 1 + 3 + 522 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (13522133) and next prime (13522147).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13522147) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 27295 + ... + 27785.

Almost surely, 213522140 is an apocalyptic number.

13522140 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 13522140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22503096).

13522140 is an abundant number, since it is smaller than the sum of its proper divisors (31484052).

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

13522140 is a wasteful number, since it uses less digits than its factorization.

13522140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13522140 is about 3677.2462522926. The cubic root of 13522140 is about 238.2402535884.

Adding to 13522140 its reverse (4122531), we get a palindrome (17644671).

The spelling of 13522140 in words is "thirteen million, five hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 491 510 540 612 765 810 918 982 1020 1377 1473 1530 1620 1836 1964 2295 2455 2754 2946 3060 4419 4590 4910 5508 5892 6885 7365 8347 8838 9180 9820 13257 13770 14730 16694 17676 22095 25041 26514 27540 29460 33388 39771 41735 44190 50082 53028 66285 75123 79542 83470 88380 100164 125205 132570 150246 159084 166940 198855 225369 250410 265140 300492 375615 397710 450738 500820 676107 751230 795420 901476 1126845 1352214 1502460 2253690 2704428 3380535 4507380 6761070 13522140