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12192240 = 2435371373
BaseRepresentation
bin101110100000…
…100111110000
3211221102121110
4232200213300
511110122430
61113153320
7205426614
oct56404760
924842543
1012192240
116978235
1240bb840
1326ab658
141895344
15110c7b0
hexba09f0

12192240 has 80 divisors (see below), whose sum is σ = 38845728. Its totient is φ = 3161088.

The previous prime is 12192239. The next prime is 12192287. The reversal of 12192240 is 4229121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8194 + ... + 9566.

Almost surely, 212192240 is an apocalyptic number.

12192240 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 12192240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19422864).

12192240 is an abundant number, since it is smaller than the sum of its proper divisors (26653488).

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

12192240 is a wasteful number, since it uses less digits than its factorization.

12192240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12192240 is about 3491.7388218479. The cubic root of 12192240 is about 230.1589323688.

The spelling of 12192240 in words is "twelve million, one hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1373 1480 1776 2220 2746 2960 4119 4440 5492 6865 8238 8880 10984 13730 16476 20595 21968 27460 32952 41190 50801 54920 65904 82380 101602 109840 152403 164760 203204 254005 304806 329520 406408 508010 609612 762015 812816 1016020 1219224 1524030 2032040 2438448 3048060 4064080 6096120 12192240