Search a number
-
+
146864091 = 311192941197
BaseRepresentation
bin10001100000011…
…11011111011011
3101020100110122210
420300033133123
5300044122331
622323450203
73432216123
oct1060173733
9336313583
10146864091
11759a0190
1241226963
132457173a
141570dc83
15cd60446
hex8c0f7db

146864091 has 64 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 79027200.

The previous prime is 146864087. The next prime is 146864099. The reversal of 146864091 is 190468641.

146864091 is a nontrivial binomial coefficient, being equal to C(17139, 2).

It is not a de Polignac number, because 146864091 - 22 = 146864087 is a prime.

It is a super-2 number, since 2×1468640912 = 43138122450512562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146864099) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 745405 + ... + 745601.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2146864091 is an apocalyptic number.

146864091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

146864091 is the 17138-th triangular number.

146864091 is a deficient number, since it is larger than the sum of its proper divisors (92636709).

146864091 is a wasteful number, since it uses less digits than its factorization.

146864091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 146864091 is about 12118.7495642083. The cubic root of 146864091 is about 527.6005106348.

The spelling of 146864091 in words is "one hundred forty-six million, eight hundred sixty-four thousand, ninety-one".

Divisors: 1 3 11 19 29 33 41 57 87 123 197 209 319 451 551 591 627 779 957 1189 1353 1653 2167 2337 3567 3743 5713 6061 6501 8077 8569 11229 13079 17139 18183 22591 24231 25707 39237 41173 62843 67773 88847 108547 123519 153463 188529 234233 248501 266541 325641 460389 702699 745503 1194017 1688093 2576563 3582051 4450427 5064279 7729689 13351281 48954697 146864091