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146315793 = 3136595693
BaseRepresentation
bin10001011100010…
…01101000010001
3101012022121112110
420232021220101
5244424101133
622304015533
73424443441
oct1056115021
9335277473
10146315793
1175656248
12410015a9
132440bcc0
141560a121
15cca2c63
hex8b89a11

146315793 has 16 divisors (see below), whose sum is σ = 210450240. Its totient is φ = 89888064.

The previous prime is 146315791. The next prime is 146315831. The reversal of 146315793 is 397513641.

It is not a de Polignac number, because 146315793 - 21 = 146315791 is a prime.

It is a super-2 number, since 2×1463157932 = 42816622562437698, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146315791) 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 15 ways as a sum of consecutive naturals, for example, 22855 + ... + 28547.

It is an arithmetic number, because the mean of its divisors is an integer number (13153140).

Almost surely, 2146315793 is an apocalyptic number.

146315793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

146315793 is a deficient number, since it is larger than the sum of its proper divisors (64134447).

146315793 is a wasteful number, since it uses less digits than its factorization.

146315793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368.

The product of its digits is 68040, while the sum is 39.

The square root of 146315793 is about 12096.1065223484. The cubic root of 146315793 is about 526.9431158724.

Subtracting from 146315793 its product of digits (68040), we obtain a triangular number (146247753 = T17102).

The spelling of 146315793 in words is "one hundred forty-six million, three hundred fifteen thousand, seven hundred ninety-three".

Divisors: 1 3 13 39 659 1977 5693 8567 17079 25701 74009 222027 3751687 11255061 48771931 146315793