Search a number
-
+
27070560 = 25325111709
BaseRepresentation
bin110011101000…
…1000001100000
31212221022211100
41213101001200
523412224220
62404114400
7446044626
oct147210140
955838740
1027070560
111430a570
129095a00
1357ba7aa
143849516
15259ad90
hex19d1060

27070560 has 144 divisors (see below), whose sum is σ = 100835280. Its totient is φ = 6558720.

The previous prime is 27070559. The next prime is 27070577. The reversal of 27070560 is 6507072.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14986 + ... + 16694.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 227070560 is an apocalyptic number.

27070560 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 27070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50417640).

27070560 is an abundant number, since it is smaller than the sum of its proper divisors (73764720).

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

27070560 is a wasteful number, since it uses less digits than its factorization.

27070560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 27070560 is about 5202.9376317615. The cubic root of 27070560 is about 300.2611060129.

The spelling of 27070560 in words is "twenty-seven million, seventy thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1709 1760 1980 2640 3168 3418 3960 5127 5280 6836 7920 8545 10254 13672 15381 15840 17090 18799 20508 25635 27344 30762 34180 37598 41016 51270 54688 56397 61524 68360 75196 76905 82032 93995 102540 112794 123048 136720 150392 153810 164064 169191 187990 205080 225588 246096 273440 281985 300784 307620 338382 375980 410160 451176 492192 563970 601568 615240 676764 751960 820320 845955 902352 1127940 1230480 1353528 1503920 1691910 1804704 2255880 2460960 2707056 3007840 3383820 4511760 5414112 6767640 9023520 13535280 27070560