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146430284 = 227111336571
BaseRepresentation
bin10001011101001…
…01100101001100
3101012112102120212
420232211211030
5244441232114
622310301552
73425431310
oct1056454514
9335472525
10146430284
1175724270
12410578b8
132444c150
1415639b40
15ccc6b3e
hex8ba594c

146430284 has 48 divisors (see below), whose sum is σ = 344069376. Its totient is φ = 52660800.

The previous prime is 146430269. The next prime is 146430293. The reversal of 146430284 is 482034641.

It is a self number, because there is not a number n which added to its sum of digits gives 146430284.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14282 + ... + 22289.

It is an arithmetic number, because the mean of its divisors is an integer number (7168112).

Almost surely, 2146430284 is an apocalyptic number.

146430284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146430284 is an abundant number, since it is smaller than the sum of its proper divisors (197639092).

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

146430284 is a wasteful number, since it uses less digits than its factorization.

146430284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36606 (or 36604 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 146430284 is about 12100.8381527893. The cubic root of 146430284 is about 527.0805230379.

The spelling of 146430284 in words is "one hundred forty-six million, four hundred thirty thousand, two hundred eighty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 36571 73142 146284 255997 402281 475423 511994 804562 950846 1023988 1609124 1901692 2815967 3327961 5229653 5631934 6655922 10459306 11263868 13311844 20918612 36607571 73215142 146430284