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146057328 = 24321014287
BaseRepresentation
bin10001011010010…
…10100001110000
3101011211110222200
420231022201300
5244342313303
622254303200
73422316054
oct1055124160
9334743880
10146057328
117549a03a
1240ab7b00
132434b471
141557dc64
15cc513a3
hex8b4a870

146057328 has 30 divisors (see below), whose sum is σ = 408758064. Its totient is φ = 48685728.

The previous prime is 146057323. The next prime is 146057339. The reversal of 146057328 is 823750641.

146057328 is a `hidden beast` number, since 1 + 4 + 60 + 573 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146057292 and 146057301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146057321) 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 5 ways as a sum of consecutive naturals, for example, 507000 + ... + 507287.

Almost surely, 2146057328 is an apocalyptic number.

146057328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146057328 is an abundant number, since it is smaller than the sum of its proper divisors (262700736).

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

146057328 is a wasteful number, since it uses less digits than its factorization.

146057328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014301 (or 1014292 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 146057328 is about 12085.4179902890. The cubic root of 146057328 is about 526.6326535388.

The spelling of 146057328 in words is "one hundred forty-six million, fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1014287 2028574 3042861 4057148 6085722 8114296 9128583 12171444 16228592 18257166 24342888 36514332 48685776 73028664 146057328