Search a number
-
+
2969480 = 235611217
BaseRepresentation
bin1011010100111110001000
312120212100202
423110332020
51230010410
6143351332
734145243
oct13247610
95525322
102969480
111749018
12bb2548
137cc7b7
1457425a
153d9ca5
hex2d4f88

2969480 has 32 divisors (see below), whose sum is σ = 6796440. Its totient is φ = 1167360.

The previous prime is 2969479. The next prime is 2969489. The reversal of 2969480 is 849692.

2969480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1295044 + 1674436 = 1138^2 + 1294^2 .

It is a super-2 number, since 2×29694802 = 17635622940800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2969489) 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 7 ways as a sum of consecutive naturals, for example, 1832 + ... + 3048.

22969480 is an apocalyptic number.

2969480 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 2969480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398220).

2969480 is an abundant number, since it is smaller than the sum of its proper divisors (3826960).

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

2969480 is a wasteful number, since it uses less digits than its factorization.

2969480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2969480 is about 1723.2179200554. The cubic root of 2969480 is about 143.7342062043.

The spelling of 2969480 in words is "two million, nine hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1217 1220 2434 2440 4868 6085 9736 12170 24340 48680 74237 148474 296948 371185 593896 742370 1484740 2969480