Search a number
-
+
2150304 = 253131723
BaseRepresentation
bin1000001100111110100000
311001020122220
420030332200
51022302204
6114031040
724164052
oct10147640
94036586
102150304
111239612
12878480
135a3990
143dd8d2
152c71d9
hex20cfa0

2150304 has 48 divisors (see below), whose sum is σ = 6082272. Its totient is φ = 661248.

The previous prime is 2150303. The next prime is 2150333. The reversal of 2150304 is 4030512.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×21503043 = 29827773948333883392, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2150303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387 + ... + 2109.

It is an arithmetic number, because the mean of its divisors is an integer number (126714).

22150304 is an apocalyptic number.

2150304 is a gapful number since it is divisible by the number (24) 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 2150304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041136).

2150304 is an abundant number, since it is smaller than the sum of its proper divisors (3931968).

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

2150304 is a wasteful number, since it uses less digits than its factorization.

2150304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2150304 is about 1466.3914893370. The cubic root of 2150304 is about 129.0723709050.

Adding to 2150304 its reverse (4030512), we get a palindrome (6180816).

The spelling of 2150304 in words is "two million, one hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1723 3446 5169 6892 10338 13784 20676 22399 27568 41352 44798 55136 67197 82704 89596 134394 165408 179192 268788 358384 537576 716768 1075152 2150304