Search a number
-
+
189337764 = 223721173401
BaseRepresentation
bin10110100100100…
…01000010100100
3111012021100120210
423102101002210
5341432302024
630442055420
74456226100
oct1322210244
9435240523
10189337764
11979702a0
12534aa570
13302c31a5
141b208900
1511950129
hexb4910a4

189337764 has 144 divisors (see below), whose sum is σ = 569733696. Its totient is φ = 48384000.

The previous prime is 189337763. The next prime is 189337829. The reversal of 189337764 is 467733981.

It is not an unprimeable number, because it can be changed into a prime (189337763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471964 + ... + 472364.

It is an arithmetic number, because the mean of its divisors is an integer number (3956484).

Almost surely, 2189337764 is an apocalyptic number.

189337764 is a gapful number since it is divisible by the number (14) 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 189337764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284866848).

189337764 is an abundant number, since it is smaller than the sum of its proper divisors (380395932).

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

189337764 is a wasteful number, since it uses less digits than its factorization.

189337764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 189337764 is about 13760.0059593010. The cubic root of 189337764 is about 574.2210134423.

The spelling of 189337764 in words is "one hundred eighty-nine million, three hundred thirty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 73 77 84 98 132 146 147 154 196 219 231 292 294 308 401 438 462 511 539 588 802 803 876 924 1022 1078 1203 1533 1604 1606 1617 2044 2156 2406 2409 2807 3066 3212 3234 3577 4411 4812 4818 5614 5621 6132 6468 7154 8421 8822 9636 10731 11228 11242 13233 14308 16842 16863 17644 19649 21462 22484 26466 29273 30877 33684 33726 39298 39347 42924 52932 58546 58947 61754 67452 78596 78694 87819 92631 117092 117894 118041 123508 157388 175638 185262 204911 216139 235788 236082 322003 351276 370524 409822 432278 472164 614733 644006 648417 819644 864556 966009 1229466 1288012 1296834 1434377 1932018 2254021 2458932 2593668 2868754 3864036 4303131 4508042 5737508 6762063 8606262 9016084 13524126 15778147 17212524 27048252 31556294 47334441 63112588 94668882 189337764