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272026880 = 2854612
BaseRepresentation
bin10000001101101…
…100110100000000
3200221212101201122
4100031230310000
51024114330010
642554251412
76512122166
oct2015546400
9627771648
10272026880
1112a608904
1277126b68
1344485568
14281b1236
1518d35855
hex1036cd00

272026880 has 54 divisors (see below), whose sum is σ = 653005878. Its totient is φ = 108574720.

The previous prime is 272026879. The next prime is 272026883. The reversal of 272026880 is 88620272.

It can be written as a sum of positive squares in 3 ways, for example, as 5161984 + 266864896 = 2272^2 + 16336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 272026880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272026883) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589850 + ... + 590310.

Almost surely, 2272026880 is an apocalyptic number.

272026880 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 272026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326502939).

272026880 is an abundant number, since it is smaller than the sum of its proper divisors (380978998).

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

272026880 is an frugal number, since it uses more digits than its factorization.

272026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 272026880 is about 16493.2374020384. The cubic root of 272026880 is about 647.9437028773.

The spelling of 272026880 in words is "two hundred seventy-two million, twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 461 640 922 1280 1844 2305 3688 4610 7376 9220 14752 18440 29504 36880 59008 73760 118016 147520 212521 295040 425042 590080 850084 1062605 1700168 2125210 3400336 4250420 6800672 8500840 13601344 17001680 27202688 34003360 54405376 68006720 136013440 272026880