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146008330 = 25132938729
BaseRepresentation
bin10001011001111…
…10100100001010
3101011201222202221
420230332210022
5244334231310
622253244254
73422023156
oct1054764412
9334658687
10146008330
1175466246
1240a9368a
1324332080
141556a066
15cc41ada
hex8b3e90a

146008330 has 32 divisors (see below), whose sum is σ = 292798800. Its totient is φ = 52050432.

The previous prime is 146008321. The next prime is 146008337. The reversal of 146008330 is 33800641.

It can be written as a sum of positive squares in 8 ways, for example, as 7969329 + 138039001 = 2823^2 + 11749^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146008295 and 146008304.

It is not an unprimeable number, because it can be changed into a prime (146008337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15595 + ... + 23134.

Almost surely, 2146008330 is an apocalyptic number.

146008330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146008330 is an abundant number, since it is smaller than the sum of its proper divisors (146790470).

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

146008330 is a wasteful number, since it uses less digits than its factorization.

146008330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38778.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 146008330 is about 12083.3906665306. The cubic root of 146008330 is about 526.5737569554.

Adding to 146008330 its reverse (33800641), we get a palindrome (179808971).

The spelling of 146008330 in words is "one hundred forty-six million, eight thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 754 1885 3770 38729 77458 193645 387290 503477 1006954 1123141 2246282 2517385 5034770 5615705 11231410 14600833 29201666 73004165 146008330