Search a number
-
+
2940864 = 26317253
BaseRepresentation
bin1011001101111111000000
312112102002220
423031333000
51223101424
6143011040
733665643
oct13157700
95472086
102940864
111729573
12b99a80
137bc774
14567a5a
153d1579
hex2cdfc0

2940864 has 84 divisors (see below), whose sum is σ = 8421624. Its totient is φ = 905216.

The previous prime is 2940863. The next prime is 2940887. The reversal of 2940864 is 4680492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2940863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55462 + ... + 55514.

22940864 is an apocalyptic number.

2940864 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 2940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210812).

2940864 is an abundant number, since it is smaller than the sum of its proper divisors (5480760).

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

2940864 is a wasteful number, since it uses less digits than its factorization.

2940864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2940864 is about 1714.8947489569. The cubic root of 2940864 is about 143.2710070950.

The spelling of 2940864 in words is "two million, nine hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 136 159 192 204 212 272 289 318 408 424 544 578 636 816 848 867 901 1088 1156 1272 1632 1696 1734 1802 2312 2544 2703 3264 3392 3468 3604 4624 5088 5406 6936 7208 9248 10176 10812 13872 14416 15317 18496 21624 27744 28832 30634 43248 45951 55488 57664 61268 86496 91902 122536 172992 183804 245072 367608 490144 735216 980288 1470432 2940864