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146820069 = 32112294649
BaseRepresentation
bin10001100000001…
…00101111100101
3101020021020021100
420300010233211
5300041220234
622322510313
73431643564
oct1060045745
9336236240
10146820069
1175970100
1241205399
13245576a6
14156dbbdb
15cd52399
hex8c04be5

146820069 has 36 divisors (see below), whose sum is σ = 241195500. Its totient is φ = 85895040.

The previous prime is 146820067. The next prime is 146820071. The reversal of 146820069 is 960028641.

It is an interprime number because it is at equal distance from previous prime (146820067) and next prime (146820071).

It can be written as a sum of positive squares in 2 ways, for example, as 118592100 + 28227969 = 10890^2 + 5313^2 .

It is not a de Polignac number, because 146820069 - 21 = 146820067 is a prime.

It is a super-2 number, since 2×1468200692 = 43112265322329522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146820067) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29257 + ... + 33905.

It is an arithmetic number, because the mean of its divisors is an integer number (6699875).

Almost surely, 2146820069 is an apocalyptic number.

It is an amenable number.

146820069 is a deficient number, since it is larger than the sum of its proper divisors (94375431).

146820069 is a wasteful number, since it uses less digits than its factorization.

146820069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 146820069 is about 12116.9331515858. The cubic root of 146820069 is about 527.5477898947.

The spelling of 146820069 in words is "one hundred forty-six million, eight hundred twenty thousand, sixty-nine".

Divisors: 1 3 9 11 29 33 87 99 121 261 319 363 957 1089 2871 3509 4649 10527 13947 31581 41841 51139 134821 153417 404463 460251 562529 1213389 1483031 1687587 4449093 5062761 13347279 16313341 48940023 146820069