Search a number
-
+
192128132 = 22729241199
BaseRepresentation
bin10110111001110…
…10010010000100
3111101112010020202
423130322102010
5343141100012
631021550032
74522030220
oct1334722204
9441463222
10192128132
11994a6789
1254415318
1330a5c2b1
141b733780
1511d01cc2
hexb73a484

192128132 has 72 divisors (see below), whose sum is σ = 409718400. Its totient is φ = 77172480.

The previous prime is 192128129. The next prime is 192128141. The reversal of 192128132 is 231821291.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 192128095 and 192128104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 965369 + ... + 965567.

Almost surely, 2192128132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192128132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204859200).

192128132 is an abundant number, since it is smaller than the sum of its proper divisors (217590268).

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

192128132 is a wasteful number, since it uses less digits than its factorization.

192128132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 278 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 192128132 is about 13861.0292547127. The cubic root of 192128132 is about 577.0281317539.

The spelling of 192128132 in words is "one hundred ninety-two million, one hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 41 58 82 116 164 199 203 287 398 406 574 796 812 841 1148 1189 1393 1682 2378 2786 3364 4756 5572 5771 5887 8159 8323 11542 11774 16318 16646 23084 23548 32636 33292 34481 40397 57113 68962 80794 114226 137924 161588 167359 228452 236611 241367 334718 473222 482734 669436 946444 965468 1171513 1656277 2343026 3312554 4686052 6625108 6861719 13723438 27446876 48032033 96064066 192128132