Search a number
-
+
12139020 = 22325173967
BaseRepresentation
bin101110010011…
…101000001100
3211211201121100
4232103220030
511101422040
61112103100
7205115505
oct56235014
924751540
1012139020
116941253
124094a90
13269036a
14187dbac
1510ebb30
hexb93a0c

12139020 has 72 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 3045888.

The previous prime is 12139013. The next prime is 12139021. The reversal of 12139020 is 2093121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12138984 and 12139002.

It is not an unprimeable number, because it can be changed into a prime (12139021) 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 23 ways as a sum of consecutive naturals, for example, 1077 + ... + 5043.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 212139020 is an apocalyptic number.

12139020 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 12139020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

12139020 is an abundant number, since it is smaller than the sum of its proper divisors (26858484).

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

12139020 is a wasteful number, since it uses less digits than its factorization.

12139020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12139020 is about 3484.1096423620. The cubic root of 12139020 is about 229.8235571794.

The spelling of 12139020 in words is "twelve million, one hundred thirty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 3967 7934 11901 15868 19835 23802 35703 39670 47604 59505 67439 71406 79340 119010 134878 142812 178515 202317 238020 269756 337195 357030 404634 606951 674390 714060 809268 1011585 1213902 1348780 2023170 2427804 3034755 4046340 6069510 12139020