Search a number
-
+
190298544 = 243171012309
BaseRepresentation
bin10110101011110…
…11100110110000
3111021002011112020
423111323212300
5342204023134
630514431440
74500340152
oct1325734660
9437064466
10190298544
1198467127
1253892580
133056b5b7
141b3b8ad2
1511a8eb49
hexb57b9b0

190298544 has 80 divisors (see below), whose sum is σ = 525903840. Its totient is φ = 59084800.

The previous prime is 190298543. The next prime is 190298569. The reversal of 190298544 is 445892091.

It is a junction number, because it is equal to n+sod(n) for n = 190298496 and 190298505.

It is not an unprimeable number, because it can be changed into a prime (190298543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81262 + ... + 83570.

It is an arithmetic number, because the mean of its divisors is an integer number (6573798).

Almost surely, 2190298544 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 190298544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262951920).

190298544 is an abundant number, since it is smaller than the sum of its proper divisors (335605296).

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

190298544 is a wasteful number, since it uses less digits than its factorization.

190298544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 190298544 is about 13794.8738305212. The cubic root of 190298544 is about 575.1906553651.

The spelling of 190298544 in words is "one hundred ninety million, two hundred ninety-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 101 102 136 202 204 272 303 404 408 606 808 816 1212 1616 1717 2309 2424 3434 4618 4848 5151 6868 6927 9236 10302 13736 13854 18472 20604 27472 27708 36944 39253 41208 55416 78506 82416 110832 117759 157012 233209 235518 314024 466418 471036 628048 699627 932836 942072 1399254 1865672 1884144 2798508 3731344 3964553 5597016 7929106 11194032 11893659 15858212 23787318 31716424 47574636 63432848 95149272 190298544