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270727072 = 25711109873
BaseRepresentation
bin10000001000101…
…111011110100000
3200212102100201121
4100020233132200
51023301231242
642510342024
76465066520
oct2010573640
9625370647
10270727072
11129900290
12767ba914
134411ba45
1427d53680
1518b7a667
hex1022f7a0

270727072 has 48 divisors (see below), whose sum is σ = 664517952. Its totient is φ = 105477120.

The previous prime is 270727069. The next prime is 270727081.

It is a happy number.

270727072 is nontrivially palindromic in base 10.

270727072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

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, 52473 + ... + 57400.

It is an arithmetic number, because the mean of its divisors is an integer number (13844124).

Almost surely, 2270727072 is an apocalyptic number.

270727072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

270727072 is an abundant number, since it is smaller than the sum of its proper divisors (393790880).

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

270727072 is a wasteful number, since it uses less digits than its factorization.

270727072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109901 (or 109893 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 34.

The square root of 270727072 is about 16453.7859473132. The cubic root of 270727072 is about 646.9100459655.

The spelling of 270727072 in words is "two hundred seventy million, seven hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 109873 219746 439492 769111 878984 1208603 1538222 1757968 2417206 3076444 3515936 4834412 6152888 8460221 9668824 12305776 16920442 19337648 24611552 33840884 38675296 67681768 135363536 270727072