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146320821 = 32101160969
BaseRepresentation
bin10001011100010…
…10110110110101
3101012022212102200
420232022312311
5244424231241
622304055113
73424464213
oct1056126665
9335285380
10146320821
1175659aa9
1241004499
132441138a
141560bcb3
15cca44b6
hex8b8adb5

146320821 has 12 divisors (see below), whose sum is σ = 213446220. Its totient is φ = 96580800.

The previous prime is 146320807. The next prime is 146320849. The reversal of 146320821 is 128023641.

146320821 is a `hidden beast` number, since 1 + 4 + 632 + 0 + 8 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91412721 + 54908100 = 9561^2 + 7410^2 .

It is not a de Polignac number, because 146320821 - 25 = 146320789 is a prime.

It is a super-2 number, since 2×1463208212 = 42819565316228082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146320721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79576 + ... + 81393.

It is an arithmetic number, because the mean of its divisors is an integer number (17787185).

Almost surely, 2146320821 is an apocalyptic number.

It is an amenable number.

146320821 is a deficient number, since it is larger than the sum of its proper divisors (67125399).

146320821 is a wasteful number, since it uses less digits than its factorization.

146320821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161076 (or 161073 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 146320821 is about 12096.3143560342. The cubic root of 146320821 is about 526.9491517659.

The spelling of 146320821 in words is "one hundred forty-six million, three hundred twenty thousand, eight hundred twenty-one".

Divisors: 1 3 9 101 303 909 160969 482907 1448721 16257869 48773607 146320821