Search a number
-
+
272701080 = 23345174951
BaseRepresentation
bin10000010000010…
…001011010011000
3201000010122120000
4100100101122120
51024302413310
643020533000
76520630611
oct2020213230
9630118500
10272701080
1112aa293a3
12773b1160
13446603b2
1428308c08
1518e1a4c0
hex10411698

272701080 has 160 divisors (see below), whose sum is σ = 970691040. Its totient is φ = 68428800.

The previous prime is 272701057. The next prime is 272701109. The reversal of 272701080 is 80107272.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52605 + ... + 57555.

It is an arithmetic number, because the mean of its divisors is an integer number (6066819).

Almost surely, 2272701080 is an apocalyptic number.

272701080 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 272701080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485345520).

272701080 is an abundant number, since it is smaller than the sum of its proper divisors (697989960).

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

272701080 is a wasteful number, since it uses less digits than its factorization.

272701080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 272701080 is about 16513.6634336540. The cubic root of 272701080 is about 648.4785559586.

The spelling of 272701080 in words is "two hundred seventy-two million, seven hundred one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 4951 5508 6120 6885 9180 9902 11016 13770 14853 18360 19804 24755 27540 29706 39608 44559 49510 55080 59412 74265 84167 89118 99020 118824 133677 148530 168334 178236 198040 222795 252501 267354 297060 336668 356472 401031 420835 445590 505002 534708 594120 668385 673336 757503 802062 841670 891180 1010004 1069416 1262505 1336770 1515006 1604124 1683340 1782360 2005155 2020008 2272509 2525010 2673540 3030012 3208248 3366680 3787515 4010310 4545018 5050020 5347080 6060024 6817527 7575030 8020620 9090036 10100040 11362545 13635054 15150060 16041240 18180072 22725090 27270108 30300120 34087635 45450180 54540216 68175270 90900360 136350540 272701080