Search a number
-
+
270114500 = 22535310193
BaseRepresentation
bin10000000110011…
…001111011000100
3200211021020102202
4100012121323010
51023122131000
642445254032
76456635555
oct2006317304
9624236382
10270114500
11129522027
1276564318
1343c65c86
1427c3432c
1518aa8dd5
hex10199ec4

270114500 has 48 divisors (see below), whose sum is σ = 601119792. Its totient is φ = 105996800.

The previous prime is 270114491. The next prime is 270114529. The reversal of 270114500 is 5411072.

It can be written as a sum of positive squares in 8 ways, for example, as 37063744 + 233050756 = 6088^2 + 15266^2 .

It is a super-2 number, since 2×2701145002 = 145923686220500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21404 + ... + 31596.

It is an arithmetic number, because the mean of its divisors is an integer number (12523329).

Almost surely, 2270114500 is an apocalyptic number.

270114500 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 270114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300559896).

270114500 is an abundant number, since it is smaller than the sum of its proper divisors (331005292).

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

270114500 is a wasteful number, since it uses less digits than its factorization.

270114500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10265 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 270114500 is about 16435.1604798980. The cubic root of 270114500 is about 646.4217580872.

Adding to 270114500 its reverse (5411072), we get a palindrome (275525572).

The spelling of 270114500 in words is "two hundred seventy million, one hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 500 530 1060 1325 2650 5300 6625 10193 13250 20386 26500 40772 50965 101930 203860 254825 509650 540229 1019300 1080458 1274125 2160916 2548250 2701145 5096500 5402290 10804580 13505725 27011450 54022900 67528625 135057250 270114500