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12145020 = 2235414937
BaseRepresentation
bin101110010101…
…000101111100
3211212000211120
4232111011330
511102120040
61112150540
7205142136
oct56250574
924760746
1012145020
116945808
124098450
132693004
141882056
1510ed7d0
hexb9517c

12145020 has 48 divisors (see below), whose sum is σ = 34842528. Its totient is φ = 3159040.

The previous prime is 12145019. The next prime is 12145033. The reversal of 12145020 is 2054121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9 + ... + 4928.

It is an arithmetic number, because the mean of its divisors is an integer number (725886).

Almost surely, 212145020 is an apocalyptic number.

12145020 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 12145020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17421264).

12145020 is an abundant number, since it is smaller than the sum of its proper divisors (22697508).

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

12145020 is a wasteful number, since it uses less digits than its factorization.

12145020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12145020 is about 3484.9705881112. The cubic root of 12145020 is about 229.8614161997.

Adding to 12145020 its reverse (2054121), we get a palindrome (14199141).

The spelling of 12145020 in words is "twelve million, one hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 4937 9874 14811 19748 24685 29622 49370 59244 74055 98740 148110 202417 296220 404834 607251 809668 1012085 1214502 2024170 2429004 3036255 4048340 6072510 12145020