Search a number
-
+
146129058 = 23237313701
BaseRepresentation
bin10001011010111…
…00000010100010
3101011222010101100
420231130002202
5244402112213
622300015230
73423035145
oct1055340242
9334863340
10146129058
1175538a19
1240b31516
1324374cca
141559c05c
15cc67773
hex8b5c0a2

146129058 has 48 divisors (see below), whose sum is σ = 326674296. Its totient is φ = 47174400.

The previous prime is 146129047. The next prime is 146129101. The reversal of 146129058 is 850921641.

It can be written as a sum of positive squares in 4 ways, for example, as 132089049 + 14040009 = 11493^2 + 3747^2 .

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 23 ways as a sum of consecutive naturals, for example, 208108 + ... + 208808.

Almost surely, 2146129058 is an apocalyptic number.

146129058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146129058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163337148).

146129058 is an abundant number, since it is smaller than the sum of its proper divisors (180545238).

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

146129058 is a wasteful number, since it uses less digits than its factorization.

146129058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 146129058 is about 12088.3852519681. The cubic root of 146129058 is about 526.7188506928.

The spelling of 146129058 in words is "one hundred forty-six million, one hundred twenty-nine thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 313 333 626 666 701 939 1402 1878 2103 2817 4206 5634 6309 11581 12618 23162 25937 34743 51874 69486 77811 104229 155622 208458 219413 233433 438826 466866 658239 1316478 1974717 3949434 8118281 16236562 24354843 48709686 73064529 146129058