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272214040 = 23574092377
BaseRepresentation
bin10000001110011…
…010100000011000
3200222012220110111
4100032122200120
51024141322130
643002254104
76513531640
oct2016324030
9628186414
10272214040
1112a72648a
12771b7334
134451c7c7
142821d520
1518d7102a
hex1039a818

272214040 has 64 divisors (see below), whose sum is σ = 701985600. Its totient is φ = 93063168.

The previous prime is 272214029. The next prime is 272214049. The reversal of 272214040 is 40412272.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272214049) 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, 113332 + ... + 115708.

It is an arithmetic number, because the mean of its divisors is an integer number (10968525).

Almost surely, 2272214040 is an apocalyptic number.

272214040 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 272214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350992800).

272214040 is an abundant number, since it is smaller than the sum of its proper divisors (429771560).

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

272214040 is a wasteful number, since it uses less digits than its factorization.

272214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 272214040 is about 16498.9102670449. The cubic root of 272214040 is about 648.0922682717.

The spelling of 272214040 in words is "two hundred seventy-two million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 409 818 1636 2045 2377 2863 3272 4090 4754 5726 8180 9508 11452 11885 14315 16360 16639 19016 22904 23770 28630 33278 47540 57260 66556 83195 95080 114520 133112 166390 332780 665560 972193 1944386 3888772 4860965 6805351 7777544 9721930 13610702 19443860 27221404 34026755 38887720 54442808 68053510 136107020 272214040