Search a number
-
+
2701080 = 233354161
BaseRepresentation
bin1010010011011100011000
312002020012000
422103130120
51142413310
6133521000
731646604
oct12233430
95066160
102701080
1115853a8
12aa3160
13737595
14504504
153854c0
hex293718

2701080 has 128 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 691200.

The previous prime is 2701009. The next prime is 2701091. The reversal of 2701080 is 801072.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44250 + ... + 44310.

22701080 is an apocalyptic number.

2701080 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 2701080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

2701080 is an abundant number, since it is smaller than the sum of its proper divisors (6673320).

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

2701080 is a wasteful number, since it uses less digits than its factorization.

2701080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2701080 is about 1643.4962731932. The cubic root of 2701080 is about 139.2662288888.

It can be divided in two parts, 270 and 1080, that multiplied together give a square (291600 = 5402).

The spelling of 2701080 in words is "two million, seven hundred one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 61 72 82 90 108 120 122 123 135 164 180 183 205 216 244 246 270 305 328 360 366 369 410 488 492 540 549 610 615 732 738 820 915 984 1080 1098 1107 1220 1230 1464 1476 1640 1647 1830 1845 2196 2214 2440 2460 2501 2745 2952 3294 3660 3690 4392 4428 4920 5002 5490 5535 6588 7320 7380 7503 8235 8856 10004 10980 11070 12505 13176 14760 15006 16470 20008 21960 22140 22509 25010 30012 32940 37515 44280 45018 50020 60024 65880 67527 75030 90036 100040 112545 135054 150060 180072 225090 270108 300120 337635 450180 540216 675270 900360 1350540 2701080