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270375140 = 225721716229
BaseRepresentation
bin10000000111011…
…001100011100100
3200211202110222002
4100013121203210
51023204001030
642455024432
76462102500
oct2007314344
9624673862
10270375140
1112968a932
127666b118
13440277b9
1427ca1300
1518b0b245
hex101d98e4

270375140 has 72 divisors (see below), whose sum is σ = 699383160. Its totient is φ = 87241728.

The previous prime is 270375059. The next prime is 270375151. The reversal of 270375140 is 41573072.

It can be written as a sum of positive squares in 4 ways, for example, as 134699236 + 135675904 = 11606^2 + 11648^2 .

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, 8546 + ... + 24774.

It is an arithmetic number, because the mean of its divisors is an integer number (9713655).

Almost surely, 2270375140 is an apocalyptic number.

270375140 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 270375140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349691580).

270375140 is an abundant number, since it is smaller than the sum of its proper divisors (429008020).

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

270375140 is a wasteful number, since it uses less digits than its factorization.

270375140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16269 (or 16260 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 270375140 is about 16443.0879095138. The cubic root of 270375140 is about 646.6296072337.

The spelling of 270375140 in words is "two hundred seventy million, three hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16229 16660 32458 64916 81145 113603 162290 227206 275893 324580 454412 551786 568015 795221 1103572 1136030 1379465 1590442 1931251 2272060 2758930 3180884 3862502 3976105 5517860 7725004 7952210 9656255 13518757 15904420 19312510 27037514 38625020 54075028 67593785 135187570 270375140