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27245064 = 23371123641
BaseRepresentation
bin110011111101…
…1101000001000
31220021012012110
41213323220020
523433320224
62411542320
7450402450
oct147735010
956235173
1027245064
1114419690
12915a9a0
13584c052
143892d60
1525d2929
hex19fba08

27245064 has 128 divisors (see below), whose sum is σ = 88750080. Its totient is φ = 6758400.

The previous prime is 27245017. The next prime is 27245077. The reversal of 27245064 is 46054272.

27245064 = 672 + 682 + ... + 4342.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42184 + ... + 42824.

It is an arithmetic number, because the mean of its divisors is an integer number (693360).

Almost surely, 227245064 is an apocalyptic number.

27245064 is a gapful number since it is divisible by the number (24) 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 27245064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44375040).

27245064 is an abundant number, since it is smaller than the sum of its proper divisors (61505016).

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

27245064 is a wasteful number, since it uses less digits than its factorization.

27245064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 27245064 is about 5219.6804499893. The cubic root of 27245064 is about 300.9049121467.

The spelling of 27245064 in words is "twenty-seven million, two hundred forty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 56 66 69 77 84 88 92 132 138 154 161 168 184 231 253 264 276 308 322 462 483 506 552 616 641 644 759 924 966 1012 1282 1288 1518 1771 1848 1923 1932 2024 2564 3036 3542 3846 3864 4487 5128 5313 6072 7051 7084 7692 8974 10626 13461 14102 14168 14743 15384 17948 21153 21252 26922 28204 29486 35896 42306 42504 44229 49357 53844 56408 58972 84612 88458 98714 103201 107688 117944 148071 162173 169224 176916 197428 206402 296142 309603 324346 353832 394856 412804 486519 592284 619206 648692 825608 973038 1135211 1184568 1238412 1297384 1946076 2270422 2476824 3405633 3892152 4540844 6811266 9081688 13622532 27245064