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2724130872 = 233322955073
BaseRepresentation
bin1010001001011110…
…1111000000111000
321000211221012001000
42202113233000320
521034334141442
61130151325000
7124335505341
oct24227570070
97024835030
102724130872
111178778931
12640380760
133454b5178
141bbb150c8
1510e24ed4c
hexa25ef038

2724130872 has 64 divisors (see below), whose sum is σ = 7600212000. Its totient is φ = 904061952.

The previous prime is 2724130819. The next prime is 2724130873. The reversal of 2724130872 is 2780314272.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2724130873) 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, 21928 + ... + 77000.

Almost surely, 22724130872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2724130872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800106000).

2724130872 is an abundant number, since it is smaller than the sum of its proper divisors (4876081128).

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

2724130872 is a wasteful number, since it uses less digits than its factorization.

2724130872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55317 (or 55307 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2724130872 is about 52193.2071442252. The cubic root of 2724130872 is about 1396.6127076731.

The spelling of 2724130872 in words is "two billion, seven hundred twenty-four million, one hundred thirty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 458 687 916 1374 1832 2061 2748 4122 5496 6183 8244 12366 16488 24732 49464 55073 110146 165219 220292 330438 440584 495657 660876 991314 1321752 1486971 1982628 2973942 3965256 5947884 11895768 12611717 25223434 37835151 50446868 75670302 100893736 113505453 151340604 227010906 302681208 340516359 454021812 681032718 908043624 1362065436 2724130872