Search a number
-
+
2705940 = 223355011
BaseRepresentation
bin1010010100101000010100
312002110212000
422110220110
51143042230
6133555300
732000016
oct12245024
95073760
102705940
111589016
12aa5b30
13739863
145061b6
15386b60
hex294a14

2705940 has 48 divisors (see below), whose sum is σ = 8420160. Its totient is φ = 721440.

The previous prime is 2705939. The next prime is 2705951. The reversal of 2705940 is 495072.

2705940 is a `hidden beast` number, since 2 + 70 + 594 + 0 = 666.

2705940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27059402 = 14644222567200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1966 + ... + 3045.

It is an arithmetic number, because the mean of its divisors is an integer number (175420).

22705940 is an apocalyptic number.

2705940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2705940 is an abundant number, since it is smaller than the sum of its proper divisors (5714220).

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

2705940 is a wasteful number, since it uses less digits than its factorization.

2705940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2705940 is about 1644.9741639309. The cubic root of 2705940 is about 139.3497051698.

The spelling of 2705940 in words is "two million, seven hundred five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 5011 10022 15033 20044 25055 30066 45099 50110 60132 75165 90198 100220 135297 150330 180396 225495 270594 300660 450990 541188 676485 901980 1352970 2705940