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146203866 = 236149673
BaseRepresentation
bin10001011011011…
…10010011011010
3101012002221000000
420231232103122
5244412010431
622301353430
73423466224
oct1055562332
9335087000
10146203866
117558a146
1240b68876
13243a0083
14155bb414
15cc7e9e6
hex8b6e4da

146203866 has 56 divisors (see below), whose sum is σ = 331506900. Its totient is φ = 48335616.

The previous prime is 146203861. The next prime is 146203867. The reversal of 146203866 is 668302641.

It can be written as a sum of positive squares in 2 ways, for example, as 132917841 + 13286025 = 11529^2 + 3645^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146203866.

It is not an unprimeable number, because it can be changed into a prime (146203861) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 216906 + ... + 217578.

Almost surely, 2146203866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146203866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165753450).

146203866 is an abundant number, since it is smaller than the sum of its proper divisors (185303034).

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

146203866 is an equidigital number, since it uses as much as digits as its factorization.

146203866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 146203866 is about 12091.4790658546. The cubic root of 146203866 is about 526.8087166017.

The spelling of 146203866 in words is "one hundred forty-six million, two hundred three thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 243 298 447 486 673 729 894 1341 1346 1458 2019 2682 4023 4038 6057 8046 12069 12114 18171 24138 36207 36342 54513 72414 100277 108621 109026 163539 200554 217242 300831 327078 490617 601662 902493 981234 1804986 2707479 5414958 8122437 16244874 24367311 48734622 73101933 146203866