Search a number
-
+
2927040 = 26353049
BaseRepresentation
bin1011001010100111000000
312111201010220
423022213000
51222131130
6142423040
733610434
oct13124700
95451126
102927040
11171a146
12b91a80
137b639c
145629c4
153cc410
hex2ca9c0

2927040 has 56 divisors (see below), whose sum is σ = 9296400. Its totient is φ = 780288.

The previous prime is 2927027. The next prime is 2927047. The reversal of 2927040 is 407292.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2927040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2927047) 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, 565 + ... + 2484.

22927040 is an apocalyptic number.

2927040 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 2927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648200).

2927040 is an abundant number, since it is smaller than the sum of its proper divisors (6369360).

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

2927040 is a wasteful number, since it uses less digits than its factorization.

2927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2927040 is about 1710.8594331505. The cubic root of 2927040 is about 143.0461650221.

The spelling of 2927040 in words is "two million, nine hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3049 6098 9147 12196 15245 18294 24392 30490 36588 45735 48784 60980 73176 91470 97568 121960 146352 182940 195136 243920 292704 365880 487840 585408 731760 975680 1463520 2927040