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21132342 = 23271179193
BaseRepresentation
bin101000010011…
…1010000110110
31110202122010100
41100213100312
520402213332
62032534530
7344423220
oct120472066
943678110
1021132342
1110a24050
1270b1446
1344bb95a
142b41410
151cc667c
hex1427436

21132342 has 96 divisors (see below), whose sum is σ = 58106880. Its totient is φ = 5391360.

The previous prime is 21132341. The next prime is 21132383. The reversal of 21132342 is 24323112.

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 (21132341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 109398 + ... + 109590.

It is an arithmetic number, because the mean of its divisors is an integer number (605280).

Almost surely, 221132342 is an apocalyptic number.

21132342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21132342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29053440).

21132342 is an abundant number, since it is smaller than the sum of its proper divisors (36974538).

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

21132342 is a wasteful number, since it uses less digits than its factorization.

21132342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 21132342 is about 4596.9927126329. The cubic root of 21132342 is about 276.4707624299.

Adding to 21132342 its reverse (24323112), we get a palindrome (45455454).

The spelling of 21132342 in words is "twenty-one million, one hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 79 99 126 154 158 193 198 231 237 386 462 474 553 579 693 711 869 1106 1158 1351 1386 1422 1659 1737 1738 2123 2607 2702 3318 3474 4053 4246 4977 5214 6083 6369 7821 8106 9954 12159 12166 12738 14861 15247 15642 18249 19107 24318 29722 30494 36498 38214 44583 45741 54747 89166 91482 106729 109494 133749 137223 167717 213458 267498 274446 320187 335434 503151 640374 960561 1006302 1174019 1509453 1921122 2348038 3018906 3522057 7044114 10566171 21132342