[go: up one dir, main page]

Search a number
-
+
2969040 = 243589139
BaseRepresentation
bin1011010100110111010000
312120211202110
423110313100
51230002130
6143345320
734144044
oct13246720
95524673
102969040
111748758
12bb2240
137cc539
14574024
153d9ab0
hex2d4dd0

2969040 has 80 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 777216.

The previous prime is 2969039. The next prime is 2969041. The reversal of 2969040 is 409692.

2969040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2969039) and next prime (2969041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2968989 and 2969007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2969041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21291 + ... + 21429.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22969040 is an apocalyptic number.

2969040 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 2969040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

2969040 is an abundant number, since it is smaller than the sum of its proper divisors (6405360).

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

2969040 is a wasteful number, since it uses less digits than its factorization.

2969040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2969040 is about 1723.0902472012. The cubic root of 2969040 is about 143.7271066252.

The spelling of 2969040 in words is "two million, nine hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 139 178 240 267 278 356 417 445 534 556 695 712 834 890 1068 1112 1335 1390 1424 1668 1780 2085 2136 2224 2670 2780 3336 3560 4170 4272 5340 5560 6672 7120 8340 10680 11120 12371 16680 21360 24742 33360 37113 49484 61855 74226 98968 123710 148452 185565 197936 247420 296904 371130 494840 593808 742260 989680 1484520 2969040