Search a number
-
+
270011016 = 233311210331
BaseRepresentation
bin10000000110000…
…000101010001000
3200211001222111000
4100012000222020
51023110323031
642443135000
76456025062
oct2006005210
9624058430
10270011016
11129461300
1276514460
1343c2ab42
1427c08732
1518a883e6
hex10180a88

270011016 has 96 divisors (see below), whose sum is σ = 824493600. Its totient is φ = 81813600.

The previous prime is 270011011. The next prime is 270011029. The reversal of 270011016 is 610110072.

It is a super-2 number, since 2×2700110162 = 145811897522704512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 270011016.

It is not an unprimeable number, because it can be changed into a prime (270011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20971 + ... + 31301.

It is an arithmetic number, because the mean of its divisors is an integer number (8588475).

Almost surely, 2270011016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270011016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412246800).

270011016 is an abundant number, since it is smaller than the sum of its proper divisors (554482584).

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

270011016 is a wasteful number, since it uses less digits than its factorization.

270011016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 270011016 is about 16432.0119279411. The cubic root of 270011016 is about 646.3391969836.

Adding to 270011016 its reverse (610110072), we get a palindrome (880121088).

The spelling of 270011016 in words is "two hundred seventy million, eleven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 6534 8712 10331 13068 20662 26136 30993 41324 61986 82648 92979 113641 123972 185958 227282 247944 278937 340923 371916 454564 557874 681846 743832 909128 1022769 1115748 1250051 1363692 2045538 2231496 2500102 2727384 3068307 3750153 4091076 5000204 6136614 7500306 8182152 10000408 11250459 12273228 15000612 22500918 24546456 30001224 33751377 45001836 67502754 90003672 135005508 270011016