Search a number
-
+
146164733 = 1121392921
BaseRepresentation
bin10001011011001…
…00101111111101
3101012000221022122
420231210233331
5244404232413
622300452325
73423244151
oct1055445775
9335027278
10146164733
1175562800
1240b4a0a5
1324388310
14155ab061
15cc73108
hex8b64bfd

146164733 has 12 divisors (see below), whose sum is σ = 173020764. Its totient is φ = 122654400.

The previous prime is 146164717. The next prime is 146164751. The reversal of 146164733 is 337461641.

It can be written as a sum of positive squares in 2 ways, for example, as 6853924 + 139310809 = 2618^2 + 11803^2 .

It is not a de Polignac number, because 146164733 - 24 = 146164717 is a prime.

It is a super-2 number, since 2×1461647332 = 42728258345922578, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146164693 and 146164702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146164133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44888 + ... + 48033.

It is an arithmetic number, because the mean of its divisors is an integer number (14418397).

Almost surely, 2146164733 is an apocalyptic number.

146164733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

146164733 is a deficient number, since it is larger than the sum of its proper divisors (26856031).

146164733 is a wasteful number, since it uses less digits than its factorization.

146164733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92956 (or 92945 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 146164733 is about 12089.8607518863. The cubic root of 146164733 is about 526.7617104459.

The spelling of 146164733 in words is "one hundred forty-six million, one hundred sixty-four thousand, seven hundred thirty-three".

Divisors: 1 11 13 121 143 1573 92921 1022131 1207973 11243441 13287703 146164733