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2972683 = 721931103
BaseRepresentation
bin1011010101110000001011
312121000202101
423111300023
51230111213
6143414231
734160500
oct13256013
95530671
102972683
11175046a
12bb4377
138010ac
145754a7
153dabdd
hex2d5c0b

2972683 has 24 divisors (see below), whose sum is σ = 3793920. Its totient is φ = 2313360.

The previous prime is 2972663. The next prime is 2972687. The reversal of 2972683 is 3862792.

2972683 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2972683 - 29 = 2972171 is a prime.

It is a d-powerful number, because it can be written as 218 + 92 + 75 + 220 + 66 + 84 + 313 .

It is not an unprimeable number, because it can be changed into a prime (2972687) 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 23 ways as a sum of consecutive naturals, for example, 28810 + ... + 28912.

It is an arithmetic number, because the mean of its divisors is an integer number (158080).

22972683 is an apocalyptic number.

2972683 is a deficient number, since it is larger than the sum of its proper divisors (821237).

2972683 is a wasteful number, since it uses less digits than its factorization.

2972683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 2972683 is about 1724.1470354932. The cubic root of 2972683 is about 143.7858667906.

It can be divided in two parts, 2972 and 683, that added together give a triangular number (3655 = T85).

The spelling of 2972683 in words is "two million, nine hundred seventy-two thousand, six hundred eighty-three".

Divisors: 1 7 19 31 49 103 133 217 589 721 931 1519 1957 3193 4123 5047 13699 22351 28861 60667 95893 156457 424669 2972683