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2979040 = 25543433
BaseRepresentation
bin1011010111010011100000
312121100110211
423113103200
51230312130
6143503504
734215151
oct13272340
95540424
102979040
111755219
12bb7b94
13803c5c
14577928
153dca2a
hex2d74e0

2979040 has 48 divisors (see below), whose sum is σ = 7218288. Its totient is φ = 1161216.

The previous prime is 2979023. The next prime is 2979043. The reversal of 2979040 is 409792.

2979040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2978993 and 2979011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979043) 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, 6664 + ... + 7096.

It is an arithmetic number, because the mean of its divisors is an integer number (150381).

22979040 is an apocalyptic number.

2979040 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 2979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609144).

2979040 is an abundant number, since it is smaller than the sum of its proper divisors (4239248).

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

2979040 is a wasteful number, since it uses less digits than its factorization.

2979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 2979040 is about 1725.9895712315. The cubic root of 2979040 is about 143.8882878441. Note that the first 3 decimals are identical.

The spelling of 2979040 in words is "two million, nine hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 433 688 860 866 1376 1720 1732 2165 3440 3464 4330 6880 6928 8660 13856 17320 18619 34640 37238 69280 74476 93095 148952 186190 297904 372380 595808 744760 1489520 2979040