Search a number
-
+
275142240 = 25325191071
BaseRepresentation
bin10000011001100…
…101011001100000
3201011201200012100
4100121211121200
51030414022430
643145130400
76550445652
oct2031453140
9634650170
10275142240
1113134648a
1278189a00
1345006579
14287826d2
151924d960
hex10665660

275142240 has 72 divisors (see below), whose sum is σ = 938927808. Its totient is φ = 73370880.

The previous prime is 275142233. The next prime is 275142271. The reversal of 275142240 is 42241572.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94096 + ... + 96975.

It is an arithmetic number, because the mean of its divisors is an integer number (13040664).

Almost surely, 2275142240 is an apocalyptic number.

275142240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

275142240 is an abundant number, since it is smaller than the sum of its proper divisors (663785568).

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

275142240 is a wasteful number, since it uses less digits than its factorization.

275142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191092 (or 191081 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 275142240 is about 16587.4120947181. The cubic root of 275142240 is about 650.4078229657.

The spelling of 275142240 in words is "two hundred seventy-five million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 191071 382142 573213 764284 955355 1146426 1528568 1719639 1910710 2292852 2866065 3057136 3439278 3821420 4585704 5732130 6114272 6878556 7642840 8598195 9171408 11464260 13757112 15285680 17196390 18342816 22928520 27514224 30571360 34392780 45857040 55028448 68785560 91714080 137571120 275142240