Search a number
-
+
146091328 = 262978713
BaseRepresentation
bin10001011010100…
…10110101000000
3101011220012121221
420231102311000
5244344410303
622255124424
73422520145
oct1055226500
9334805557
10146091328
1175512639
1240b13714
1324360a96
141558c3cc
15cc5b4bd
hex8b52d40

146091328 has 28 divisors (see below), whose sum is σ = 299900340. Its totient is φ = 70525952.

The previous prime is 146091301. The next prime is 146091347. The reversal of 146091328 is 823190641.

It can be written as a sum of positive squares in 2 ways, for example, as 88209664 + 57881664 = 9392^2 + 7608^2 .

It is a super-2 number, since 2×1460913282 = 42685352233607168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146091293 and 146091302.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 37501 + ... + 41212.

Almost surely, 2146091328 is an apocalyptic number.

It is an amenable number.

146091328 is an abundant number, since it is smaller than the sum of its proper divisors (153809012).

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

146091328 is an equidigital number, since it uses as much as digits as its factorization.

146091328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78754 (or 78744 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 146091328 is about 12086.8245623075. The cubic root of 146091328 is about 526.6735144831.

The spelling of 146091328 in words is "one hundred forty-six million, ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 78713 157426 314852 629704 1259408 2282677 2518816 4565354 5037632 9130708 18261416 36522832 73045664 146091328