Search a number
-
+
147388890 = 235112192137
BaseRepresentation
bin10001100100011…
…11100111011010
3101021100010112210
420302033213122
5300212421030
622343015550
73436533135
oct1062174732
9337303483
10147388890
1176219500
124143a5b6
13246c657c
141580921c
15ce15bb0
hex8c8f9da

147388890 has 96 divisors (see below), whose sum is σ = 409469760. Its totient is φ = 33834240.

The previous prime is 147388877. The next prime is 147388897. The reversal of 147388890 is 98883741.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (147388897) 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, 67902 + ... + 70038.

It is an arithmetic number, because the mean of its divisors is an integer number (4265310).

Almost surely, 2147388890 is an apocalyptic number.

147388890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147388890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204734880).

147388890 is an abundant number, since it is smaller than the sum of its proper divisors (262080870).

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

147388890 is a wasteful number, since it uses less digits than its factorization.

147388890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 147388890 is about 12140.3826134105. The cubic root of 147388890 is about 528.2281999696.

The spelling of 147388890 in words is "one hundred forty-seven million, three hundred eighty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 121 165 190 209 242 285 330 363 418 570 605 627 726 1045 1210 1254 1815 2090 2137 2299 3135 3630 4274 4598 6270 6411 6897 10685 11495 12822 13794 21370 22990 23507 32055 34485 40603 47014 64110 68970 70521 81206 117535 121809 141042 203015 235070 243618 258577 352605 406030 446633 517154 609045 705210 775731 893266 1218090 1292885 1339899 1551462 2233165 2585770 2679798 3878655 4466330 4912963 6699495 7757310 9825926 13398990 14738889 24564815 29477778 49129630 73694445 147388890