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2874640 = 24535933
BaseRepresentation
bin1010111101110100010000
312102001021011
422331310100
51213442030
6141340304
733301606
oct12756420
95361234
102874640
11169383a
12b67694
13798592
1454b876
153bbb2a
hex2bdd10

2874640 has 20 divisors (see below), whose sum is σ = 6683724. Its totient is φ = 1149824.

The previous prime is 2874629. The next prime is 2874647. The reversal of 2874640 is 464782.

2874640 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1547536 + 1327104 = 1244^2 + 1152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2874647) 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 3 ways as a sum of consecutive naturals, for example, 17887 + ... + 18046.

22874640 is an apocalyptic number.

2874640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2874640 is an abundant number, since it is smaller than the sum of its proper divisors (3809084).

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

2874640 is a wasteful number, since it uses less digits than its factorization.

2874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35946 (or 35940 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 2874640 is about 1695.4763342495. The cubic root of 2874640 is about 142.1874137181.

The spelling of 2874640 in words is "two million, eight hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 35933 71866 143732 179665 287464 359330 574928 718660 1437320 2874640