Search a number
-
+
189970512 = 243171912253
BaseRepresentation
bin10110101001010…
…11100001010000
3111020110111112220
423110223201100
5342113024022
630503421040
74464502614
oct1324534120
9436414486
10189970512
1198262726
1253754780
13304851b4
141b331344
1511a2785c
hexb52b850

189970512 has 80 divisors (see below), whose sum is σ = 547018560. Its totient is φ = 56457216.

The previous prime is 189970489. The next prime is 189970549. The reversal of 189970512 is 215079981.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9378 + ... + 21630.

It is an arithmetic number, because the mean of its divisors is an integer number (6837732).

Almost surely, 2189970512 is an apocalyptic number.

189970512 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 189970512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273509280).

189970512 is an abundant number, since it is smaller than the sum of its proper divisors (357048048).

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

189970512 is a wasteful number, since it uses less digits than its factorization.

189970512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12300 (or 12294 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 189970512 is about 13782.9790684017. The cubic root of 189970512 is about 574.8599653949.

The spelling of 189970512 in words is "one hundred eighty-nine million, nine hundred seventy thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3876 5168 7752 12253 15504 24506 36759 49012 73518 98024 147036 196048 208301 232807 294072 416602 465614 588144 624903 698421 833204 931228 1249806 1396842 1666408 1862456 2499612 2793684 3332816 3724912 3957719 4999224 5587368 7915438 9998448 11174736 11873157 15830876 23746314 31661752 47492628 63323504 94985256 189970512