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2769140 = 2251141307
BaseRepresentation
bin1010100100000011110100
312012200112202
422210003310
51202103030
6135204032
732352203
oct12440364
95180482
102769140
111621550
12b16618
1375c55a
1452123a
1539a745
hex2a40f4

2769140 has 48 divisors (see below), whose sum is σ = 6519744. Its totient is φ = 979200.

The previous prime is 2769139. The next prime is 2769149. The reversal of 2769140 is 419672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2769149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8867 + ... + 9173.

It is an arithmetic number, because the mean of its divisors is an integer number (135828).

22769140 is an apocalyptic number.

2769140 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 2769140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259872).

2769140 is an abundant number, since it is smaller than the sum of its proper divisors (3750604).

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

2769140 is a wasteful number, since it uses less digits than its factorization.

2769140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 2769140 is about 1664.0733156926. The cubic root of 2769140 is about 140.4262519126.

The spelling of 2769140 in words is "two million, seven hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 307 410 451 614 820 902 1228 1535 1804 2255 3070 3377 4510 6140 6754 9020 12587 13508 16885 25174 33770 50348 62935 67540 125870 138457 251740 276914 553828 692285 1384570 2769140