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146260112 = 24173714533
BaseRepresentation
bin10001011011111…
…00000010010000
3101012012210011012
420231330002100
5244420310422
622302510052
73424122215
oct1055740220
9335183135
10146260112
1175618429
1240b95328
13243bc85b
14155d3b0c
15cc914e2
hex8b7c090

146260112 has 40 divisors (see below), whose sum is σ = 308178936. Its totient is φ = 66963456.

The previous prime is 146260111. The next prime is 146260117. The reversal of 146260112 is 211062641.

It can be written as a sum of positive squares in 4 ways, for example, as 75968656 + 70291456 = 8716^2 + 8384^2 .

It is not an unprimeable number, because it can be changed into a prime (146260111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2798 + ... + 17330.

Almost surely, 2146260112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146260112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154089468).

146260112 is an abundant number, since it is smaller than the sum of its proper divisors (161918824).

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

146260112 is a wasteful number, since it uses less digits than its factorization.

146260112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14595 (or 14589 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 146260112 is about 12093.8046949668. The cubic root of 146260112 is about 526.8762640270.

The spelling of 146260112 in words is "one hundred forty-six million, two hundred sixty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 2516 5032 10064 14533 29066 58132 116264 232528 247061 494122 537721 988244 1075442 1976488 2150884 3952976 4301768 8603536 9141257 18282514 36565028 73130056 146260112