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146323280 = 2451829041
BaseRepresentation
bin10001011100010…
…11011101010000
3101012022222210202
420232023131100
5244424321110
622304114332
73424504325
oct1056133520
9335288722
10146323280
1175660934
12410059a8
132441252c
141560cb4c
15cca50a5
hex8b8b750

146323280 has 20 divisors (see below), whose sum is σ = 340201812. Its totient is φ = 58529280.

The previous prime is 146323277. The next prime is 146323283. The reversal of 146323280 is 82323641.

It is an interprime number because it is at equal distance from previous prime (146323277) and next prime (146323283).

It can be written as a sum of positive squares in 2 ways, for example, as 64384576 + 81938704 = 8024^2 + 9052^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146323283) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 914441 + ... + 914600.

Almost surely, 2146323280 is an apocalyptic number.

146323280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146323280 is an abundant number, since it is smaller than the sum of its proper divisors (193878532).

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

146323280 is a wasteful number, since it uses less digits than its factorization.

146323280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829054 (or 1829048 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 146323280 is about 12096.4159981376. The cubic root of 146323280 is about 526.9521036372.

The spelling of 146323280 in words is "one hundred forty-six million, three hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1829041 3658082 7316164 9145205 14632328 18290410 29264656 36580820 73161640 146323280