Search a number
-
+
12010020 = 22351131587
BaseRepresentation
bin101101110100…
…001000100100
3211121011122120
4231310020210
511033310040
61105225540
7204040431
oct55641044
924534576
1012010020
116863340
1240322b0
132646729
141848b88
1510c37d0
hexb74224

12010020 has 96 divisors (see below), whose sum is σ = 37933056. Its totient is φ = 2812800.

The previous prime is 12010013. The next prime is 12010021. The reversal of 12010020 is 2001021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 12009990 and 12010008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20167 + ... + 20753.

It is an arithmetic number, because the mean of its divisors is an integer number (395136).

Almost surely, 212010020 is an apocalyptic number.

12010020 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 12010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18966528).

12010020 is an abundant number, since it is smaller than the sum of its proper divisors (25923036).

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

12010020 is a wasteful number, since it uses less digits than its factorization.

12010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12010020 is about 3465.5475757808. The cubic root of 12010020 is about 229.0065532090.

Adding to 12010020 its reverse (2001021), we get a palindrome (14011041).

The spelling of 12010020 in words is "twelve million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 587 620 660 682 930 1023 1174 1364 1705 1761 1860 2046 2348 2935 3410 3522 4092 5115 5870 6457 6820 7044 8805 10230 11740 12914 17610 18197 19371 20460 25828 32285 35220 36394 38742 54591 64570 72788 77484 90985 96855 109182 129140 181970 193710 200167 218364 272955 363940 387420 400334 545910 600501 800668 1000835 1091820 1201002 2001670 2402004 3002505 4003340 6005010 12010020