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270271540 = 225711223787
BaseRepresentation
bin10000000111000…
…000010000110100
3200211120012212001
4100013000100310
51023142142130
642452505044
76461161450
oct2007002064
9624505761
10270271540
1112961a010
127661b184
1343cbc5b6
1427c75660
1518ada6ca
hex101c0434

270271540 has 96 divisors (see below), whose sum is σ = 711696384. Its totient is φ = 83756160.

The previous prime is 270271517. The next prime is 270271543. The reversal of 270271540 is 45172072.

270271540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 270271499 and 270271508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270271543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343027 + ... + 343813.

It is an arithmetic number, because the mean of its divisors is an integer number (7413504).

Almost surely, 2270271540 is an apocalyptic number.

270271540 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 270271540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355848192).

270271540 is an abundant number, since it is smaller than the sum of its proper divisors (441424844).

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

270271540 is a wasteful number, since it uses less digits than its factorization.

270271540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 270271540 is about 16439.9373478125. The cubic root of 270271540 is about 646.5470067088.

The spelling of 270271540 in words is "two hundred seventy million, two hundred seventy-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 223 308 385 446 770 787 892 1115 1540 1561 1574 2230 2453 3122 3148 3935 4460 4906 5509 6244 7805 7870 8657 9812 11018 12265 15610 15740 17171 17314 22036 24530 27545 31220 34342 34628 43285 49060 55090 60599 68684 85855 86570 110180 121198 171710 173140 175501 242396 302995 343420 351002 605990 702004 877505 1211980 1228507 1755010 1930511 2457014 3510020 3861022 4914028 6142535 7722044 9652555 12285070 13513577 19305110 24570140 27027154 38610220 54054308 67567885 135135770 270271540