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19242132 = 22371367263
BaseRepresentation
bin100100101100…
…1110010010100
31100012121020120
41021121302110
514411222012
61524231540
7322361340
oct111316224
940177216
1019242132
11a952998
12653b5b0
133ca94a0
1427ac620
151a5158c
hex1259c94

19242132 has 96 divisors (see below), whose sum is σ = 56297472. Its totient is φ = 4980096.

The previous prime is 19242121. The next prime is 19242133. The reversal of 19242132 is 23124291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19242133) 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 31 ways as a sum of consecutive naturals, for example, 73033 + ... + 73295.

It is an arithmetic number, because the mean of its divisors is an integer number (586432).

Almost surely, 219242132 is an apocalyptic number.

19242132 is a gapful number since it is divisible by the number (12) 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 19242132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28148736).

19242132 is an abundant number, since it is smaller than the sum of its proper divisors (37055340).

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

19242132 is a wasteful number, since it uses less digits than its factorization.

19242132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 19242132 is about 4386.5854602413. The cubic root of 19242132 is about 267.9689018642.

It can be divided in two parts, 192 and 42132, that added together give a palindrome (42324).

The spelling of 19242132 in words is "nineteen million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 67 78 84 91 134 156 182 201 263 268 273 364 402 469 526 546 789 804 871 938 1052 1092 1407 1578 1742 1841 1876 2613 2814 3156 3419 3484 3682 5226 5523 5628 6097 6838 7364 10257 10452 11046 12194 13676 17621 18291 20514 22092 23933 24388 35242 36582 41028 47866 52863 70484 71799 73164 95732 105726 123347 143598 211452 229073 246694 287196 370041 458146 493388 687219 740082 916292 1374438 1480164 1603511 2748876 3207022 4810533 6414044 9621066 19242132