Search a number
-
+
2139300 = 2232522377
BaseRepresentation
bin1000001010010010100100
311000200120100
420022102210
51021424200
6113504100
724120012
oct10122244
94020510
102139300
111231319
12872030
1359b977
143d98b2
152c3d00
hex20a4a4

2139300 has 54 divisors (see below), whose sum is σ = 6708338. Its totient is φ = 570240.

The previous prime is 2139283. The next prime is 2139307. The reversal of 2139300 is 39312.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 2056356 = 288^2 + 1434^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2139307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 289 + ... + 2088.

22139300 is an apocalyptic number.

2139300 is a gapful number since it is divisible by the number (20) 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 2139300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354169).

2139300 is an abundant number, since it is smaller than the sum of its proper divisors (4569038).

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

2139300 is a wasteful number, since it uses less digits than its factorization.

2139300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2139300 is about 1462.6346091899. The cubic root of 2139300 is about 128.8518219257.

The spelling of 2139300 in words is "two million, one hundred thirty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2377 4754 7131 9508 11885 14262 21393 23770 28524 35655 42786 47540 59425 71310 85572 106965 118850 142620 178275 213930 237700 356550 427860 534825 713100 1069650 2139300