Search a number
-
+
189812616 = 233717411621
BaseRepresentation
bin10110101000001…
…00111110001000
3111020011110221220
423110010332020
5342043000431
630500202040
74463244360
oct1324047610
9436143856
10189812616
1198165034
1253699320
133042b376
141b2cd9a0
15119e5b96
hexb504f88

189812616 has 128 divisors (see below), whose sum is σ = 588591360. Its totient is φ = 49766400.

The previous prime is 189812591. The next prime is 189812639. The reversal of 189812616 is 616218981.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116286 + ... + 117906.

It is an arithmetic number, because the mean of its divisors is an integer number (4598370).

Almost surely, 2189812616 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 189812616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294295680).

189812616 is an abundant number, since it is smaller than the sum of its proper divisors (398778744).

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

189812616 is a wasteful number, since it uses less digits than its factorization.

189812616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1691 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The square root of 189812616 is about 13777.2499432942. The cubic root of 189812616 is about 574.7006542692.

The spelling of 189812616 in words is "one hundred eighty-nine million, eight hundred twelve thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 41 42 51 56 68 82 84 102 119 123 136 164 168 204 238 246 287 328 357 408 476 492 574 697 714 861 952 984 1148 1394 1428 1621 1722 2091 2296 2788 2856 3242 3444 4182 4863 4879 5576 6484 6888 8364 9726 9758 11347 12968 14637 16728 19452 19516 22694 27557 29274 34041 38904 39032 45388 55114 58548 66461 68082 82671 90776 110228 117096 132922 136164 165342 192899 199383 220456 265844 272328 330684 385798 398766 465227 531688 578697 661368 771596 797532 930454 1129837 1157394 1395681 1543192 1595064 1860908 2259674 2314788 2791362 3389511 3721816 4519348 4629576 5582724 6779022 7908859 9038696 11165448 13558044 15817718 23726577 27116088 31635436 47453154 63270872 94906308 189812616