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272890720 = 2558320549
BaseRepresentation
bin10000010000111…
…111101101100000
3201000111021200201
4100100333231200
51024330000340
643024554544
76522350524
oct2020775540
9630437621
10272890720
11130048923
1277482a54
13446c87cb
1428357d84
1518e5679a
hex1043fb60

272890720 has 48 divisors (see below), whose sum is σ = 652503600. Its totient is φ = 107835904.

The previous prime is 272890697. The next prime is 272890721. The reversal of 272890720 is 27098272.

It is a self number, because there is not a number n which added to its sum of digits gives 272890720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272890721) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3006 + ... + 23554.

It is an arithmetic number, because the mean of its divisors is an integer number (13593825).

Almost surely, 2272890720 is an apocalyptic number.

272890720 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 272890720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326251800).

272890720 is an abundant number, since it is smaller than the sum of its proper divisors (379612880).

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

272890720 is a wasteful number, since it uses less digits than its factorization.

272890720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20647 (or 20639 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 272890720 is about 16519.4043476150. The cubic root of 272890720 is about 648.6288413646.

The spelling of 272890720 in words is "two hundred seventy-two million, eight hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 6640 13280 20549 41098 82196 102745 164392 205490 328784 410980 657568 821960 1643920 1705567 3287840 3411134 6822268 8527835 13644536 17055670 27289072 34111340 54578144 68222680 136445360 272890720