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2732674100 = 2252132102057
BaseRepresentation
bin1010001011100001…
…0100110000110100
321001110000020010212
42202320110300310
521044031032400
61131054404552
7124501226612
oct24270246064
97043006125
102732674100
111182583552
12643200758
133471b6930
141bccda6b2
1510ed8b335
hexa2e14c34

2732674100 has 36 divisors (see below), whose sum is σ = 6386052204. Its totient is φ = 1008986880.

The previous prime is 2732674097. The next prime is 2732674111. The reversal of 2732674100 is 14762372.

It can be written as a sum of positive squares in 6 ways, for example, as 300606244 + 2432067856 = 17338^2 + 49316^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1049729 + ... + 1052328.

It is an arithmetic number, because the mean of its divisors is an integer number (177390339).

Almost surely, 22732674100 is an apocalyptic number.

2732674100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2732674100 is an abundant number, since it is smaller than the sum of its proper divisors (3653378104).

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

2732674100 is a wasteful number, since it uses less digits than its factorization.

2732674100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102084 (or 2102077 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 2732674100 is about 52274.9854136756. The cubic root of 2732674100 is about 1398.0711703340.

The spelling of 2732674100 in words is "two billion, seven hundred thirty-two million, six hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2102057 4204114 8408228 10510285 21020570 27326741 42041140 52551425 54653482 105102850 109306964 136633705 210205700 273267410 546534820 683168525 1366337050 2732674100