Search a number
-
+
191328588 = 2233116
BaseRepresentation
bin10110110011101…
…11000101001100
3111100000111111000
423121313011030
5342440003323
630552500300
74512160203
oct1331670514
9440014430
10191328588
1199000000
12540aa690
133083c3a9
141b5a623a
1511be4e43
hexb67714c

191328588 has 84 divisors (see below), whose sum is σ = 545640760. Its totient is φ = 57978360.

The previous prime is 191328581. The next prime is 191328589. The reversal of 191328588 is 885823191.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (138240) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 11.

It is a zygodrome in base 3 and base 11.

It is not an unprimeable number, because it can be changed into a prime (191328581) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17393503 + ... + 17393513.

Almost surely, 2191328588 is an apocalyptic number.

191328588 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191328588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272820380).

191328588 is an abundant number, since it is smaller than the sum of its proper divisors (354312172).

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

191328588 is an frugal number, since it uses more digits than its factorization.

191328588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 16 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 191328588 is about 13832.1577492451. The cubic root of 191328588 is about 576.2265818645.

The spelling of 191328588 in words is "one hundred ninety-one million, three hundred twenty-eight thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1331 1452 2178 2662 3267 3993 4356 5324 6534 7986 11979 13068 14641 15972 23958 29282 35937 43923 47916 58564 71874 87846 131769 143748 161051 175692 263538 322102 395307 483153 527076 644204 790614 966306 1449459 1581228 1771561 1932612 2898918 3543122 4348377 5314683 5797836 7086244 8696754 10629366 15944049 17393508 21258732 31888098 47832147 63776196 95664294 191328588