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146205114 = 231119313761
BaseRepresentation
bin10001011011011…
…10100110111010
3101012002222201020
420231232212322
5244412030424
622301403310
73423502656
oct1055564672
9335088636
10146205114
1175590080
1240b69536
13243a0803
14155bba66
15cc80079
hex8b6e9ba

146205114 has 64 divisors (see below), whose sum is σ = 346705920. Its totient is φ = 40608000.

The previous prime is 146205107. The next prime is 146205131. The reversal of 146205114 is 411502641.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36994 + ... + 40754.

It is an arithmetic number, because the mean of its divisors is an integer number (5417280).

Almost surely, 2146205114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146205114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173352960).

146205114 is an abundant number, since it is smaller than the sum of its proper divisors (200500806).

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

146205114 is a wasteful number, since it uses less digits than its factorization.

146205114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 146205114 is about 12091.5306723343. The cubic root of 146205114 is about 526.8102155484.

Adding to 146205114 its reverse (411502641), we get a palindrome (557707755).

The spelling of 146205114 in words is "one hundred forty-six million, two hundred five thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 589 627 682 1023 1178 1254 1767 2046 3534 3761 6479 7522 11283 12958 19437 22566 38874 41371 71459 82742 116591 124113 142918 214377 233182 248226 349773 428754 699546 786049 1282501 1572098 2215229 2358147 2565002 3847503 4430458 4716294 6645687 7695006 13291374 24367519 48735038 73102557 146205114