Search a number
-
+
189760284 = 223275912763
BaseRepresentation
bin10110100111110…
…00001100011100
3111020001211011200
423103320030130
5342034312114
630455115500
74462635660
oct1323701434
9436054150
10189760284
119812978a
1253672b90
13304105bc
141b2b88a0
15119d5409
hexb4f831c

189760284 has 72 divisors (see below), whose sum is σ = 557531520. Its totient is φ = 53294112.

The previous prime is 189760279. The next prime is 189760301. The reversal of 189760284 is 482067981.

189760284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8487 + ... + 21249.

Almost surely, 2189760284 is an apocalyptic number.

189760284 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 189760284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278765760).

189760284 is an abundant number, since it is smaller than the sum of its proper divisors (367771236).

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

189760284 is a wasteful number, since it uses less digits than its factorization.

189760284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12839 (or 12834 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 189760284 is about 13775.3505944495. The cubic root of 189760284 is about 574.6478337566.

The spelling of 189760284 in words is "one hundred eighty-nine million, seven hundred sixty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 3717 4956 7434 12763 14868 25526 38289 51052 76578 89341 114867 153156 178682 229734 268023 357364 459468 536046 753017 804069 1072092 1506034 1608138 2259051 3012068 3216276 4518102 5271119 6777153 9036204 10542238 13554306 15813357 21084476 27108612 31626714 47440071 63253428 94880142 189760284