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202012140 = 223511307997
BaseRepresentation
bin11000000101001…
…11010111101100
3112002010021120010
430002213113230
5403203342030
632013453220
75002034451
oct1402472754
9462107503
10202012140
11a4037790
12577a1210
1332b10115
141cb87828
1512b056b0
hexc0a75ec

202012140 has 96 divisors (see below), whose sum is σ = 619686144. Its totient is φ = 48764160.

The previous prime is 202012127. The next prime is 202012147. The reversal of 202012140 is 41210202.

202012140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (202012147) 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, 202122 + ... + 203118.

It is an arithmetic number, because the mean of its divisors is an integer number (6455064).

Almost surely, 2202012140 is an apocalyptic number.

202012140 is a gapful number since it is divisible by the number (20) 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 202012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309843072).

202012140 is an abundant number, since it is smaller than the sum of its proper divisors (417674004).

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

202012140 is a wasteful number, since it uses less digits than its factorization.

202012140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 202012140 is about 14213.0974808449. The cubic root of 202012140 is about 586.7581849020.

Adding to 202012140 its reverse (41210202), we get a palindrome (243222342).

The spelling of 202012140 in words is "two hundred two million, twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 307 330 614 660 921 997 1228 1535 1842 1994 2991 3070 3377 3684 3988 4605 4985 5982 6140 6754 9210 9970 10131 10967 11964 13508 14955 16885 18420 19940 20262 21934 29910 32901 33770 40524 43868 50655 54835 59820 65802 67540 101310 109670 131604 164505 202620 219340 306079 329010 612158 658020 918237 1224316 1530395 1836474 3060790 3366869 3672948 4591185 6121580 6733738 9182370 10100607 13467476 16834345 18364740 20201214 33668690 40402428 50503035 67337380 101006070 202012140