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2787940 = 225139397
BaseRepresentation
bin1010101000101001100100
312020122100001
422220221210
51203203230
6135431044
732461051
oct12505144
95218301
102787940
111634691
12b25484
13767c8c
14528028
153a10ca
hex2a8a64

2787940 has 12 divisors (see below), whose sum is σ = 5854716. Its totient is φ = 1115168.

The previous prime is 2787931. The next prime is 2787947. The reversal of 2787940 is 497872.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 1999396 = 888^2 + 1414^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2787940.

It is not an unprimeable number, because it can be changed into a prime (2787947) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69679 + ... + 69718.

It is an arithmetic number, because the mean of its divisors is an integer number (487893).

22787940 is an apocalyptic number.

2787940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2787940 is an abundant number, since it is smaller than the sum of its proper divisors (3066776).

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

2787940 is a wasteful number, since it uses less digits than its factorization.

2787940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139406 (or 139404 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 2787940 is about 1669.7125501115. The cubic root of 2787940 is about 140.7433252663.

The spelling of 2787940 in words is "two million, seven hundred eighty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 139397 278794 557588 696985 1393970 2787940