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189237132 = 2232717163271
BaseRepresentation
bin10110100011110…
…00011110001100
3111012002020112200
423101320132030
5341421042012
630440001500
74455326520
oct1321703614
9435066480
10189237132
1197901727
1253460290
1330289446
141b1bdd80
15119303dc
hexb47878c

189237132 has 144 divisors (see below), whose sum is σ = 584543232. Its totient is φ = 50388480.

The previous prime is 189237121. The next prime is 189237133. The reversal of 189237132 is 231732981.

189237132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189237133) 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, 698157 + ... + 698427.

It is an arithmetic number, because the mean of its divisors is an integer number (4059328).

Almost surely, 2189237132 is an apocalyptic number.

189237132 is a gapful number since it is divisible by the number (12) 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 189237132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292271616).

189237132 is an abundant number, since it is smaller than the sum of its proper divisors (395306100).

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

189237132 is a wasteful number, since it uses less digits than its factorization.

189237132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 463 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 189237132 is about 13756.3487888320. The cubic root of 189237132 is about 574.1192636236.

The spelling of 189237132 in words is "one hundred eighty-nine million, two hundred thirty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 163 204 238 252 271 306 326 357 476 489 542 612 652 714 813 978 1071 1084 1141 1428 1467 1626 1897 1956 2142 2282 2439 2771 2934 3252 3423 3794 4284 4564 4607 4878 5542 5691 5868 6846 7588 8313 9214 9756 10269 11084 11382 13692 13821 16626 17073 18428 19397 20538 22764 24939 27642 32249 33252 34146 38794 41076 41463 44173 49878 55284 58191 64498 68292 77588 82926 88346 96747 99756 116382 128996 132519 165852 174573 176692 193494 232764 265038 290241 309211 349146 386988 397557 530076 580482 618422 698292 750941 795114 927633 1160964 1236844 1501882 1590228 1855266 2252823 2782899 3003764 3710532 4505646 5256587 5565798 6758469 9011292 10513174 11131596 13516938 15769761 21026348 27033876 31539522 47309283 63079044 94618566 189237132