Search a number
-
+
270105144 = 23315317351
BaseRepresentation
bin10000000110010…
…111101000111000
3200211020202121020
4100012113220320
51023121331034
642445142440
76456566361
oct2006275070
9624222536
10270105144
11129515aa1
127655aa20
1343c6193a
1427c30b68
1518aa6249
hex10197a38

270105144 has 32 divisors (see below), whose sum is σ = 675795840. Its totient is φ = 89964000.

The previous prime is 270105113. The next prime is 270105151. The reversal of 270105144 is 441501072.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33069 + ... + 40419.

It is an arithmetic number, because the mean of its divisors is an integer number (21118620).

Almost surely, 2270105144 is an apocalyptic number.

270105144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

270105144 is an abundant number, since it is smaller than the sum of its proper divisors (405690696).

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

270105144 is a wasteful number, since it uses less digits than its factorization.

270105144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8891 (or 8887 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 270105144 is about 16434.8758437659. The cubic root of 270105144 is about 646.4142945957.

The spelling of 270105144 in words is "two hundred seventy million, one hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1531 3062 4593 6124 7351 9186 12248 14702 18372 22053 29404 36744 44106 58808 88212 176424 11254381 22508762 33763143 45017524 67526286 90035048 135052572 270105144