Search a number
-
+
27021780 = 223252361107
BaseRepresentation
bin110011100010…
…1000111010100
31212211211220200
41213011013110
523404144110
62403100500
7445452462
oct147050724
955754820
1027021780
1114286955
129071730
1357a1526
143835832
15258b6c0
hex19c51d4

27021780 has 144 divisors (see below), whose sum is σ = 87744384. Its totient is φ = 6716160.

The previous prime is 27021773. The next prime is 27021791. The reversal of 27021780 is 8712072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252487 + ... + 252593.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 227021780 is an apocalyptic number.

27021780 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 27021780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

27021780 is an abundant number, since it is smaller than the sum of its proper divisors (60722604).

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

27021780 is a wasteful number, since it uses less digits than its factorization.

27021780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

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

The square root of 27021780 is about 5198.2477817049. The cubic root of 27021780 is about 300.0806449860.

The spelling of 27021780 in words is "twenty-seven million, twenty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 61 69 90 92 107 115 122 138 180 183 207 214 230 244 276 305 321 345 366 414 428 460 535 549 610 642 690 732 828 915 963 1035 1070 1098 1220 1284 1380 1403 1605 1830 1926 2070 2140 2196 2461 2745 2806 3210 3660 3852 4140 4209 4815 4922 5490 5612 6420 6527 7015 7383 8418 9630 9844 10980 12305 12627 13054 14030 14766 16836 19260 19581 21045 22149 24610 25254 26108 28060 29532 32635 36915 39162 42090 44298 49220 50508 58743 63135 65270 73830 78324 84180 88596 97905 110745 117486 126270 130540 147660 150121 195810 221490 234972 252540 293715 300242 391620 442980 450363 587430 600484 750605 900726 1174860 1351089 1501210 1801452 2251815 2702178 3002420 4503630 5404356 6755445 9007260 13510890 27021780