Search a number
-
+
27035064 = 2332727997
BaseRepresentation
bin110011100100…
…0010110111000
31212212112010200
41213020112320
523410110224
62403242200
7445536300
oct147102670
955775120
1027035064
1114295931
129079360
1357a75a4
14383a600
1525905c9
hex19c85b8

27035064 has 144 divisors (see below), whose sum is σ = 87141600. Its totient is φ = 7547904.

The previous prime is 27034999. The next prime is 27035077. The reversal of 27035064 is 46053072.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 278664 + ... + 278760.

It is an arithmetic number, because the mean of its divisors is an integer number (605150).

Almost surely, 227035064 is an apocalyptic number.

27035064 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 27035064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43570800).

27035064 is an abundant number, since it is smaller than the sum of its proper divisors (60106536).

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

27035064 is a wasteful number, since it uses less digits than its factorization.

27035064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 27035064 is about 5199.5253629538. The cubic root of 27035064 is about 300.1298104894.

The spelling of 27035064 in words is "twenty-seven million, thirty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 79 84 97 98 126 147 158 168 194 196 237 252 291 294 316 388 392 441 474 504 553 582 588 632 679 711 776 873 882 948 1106 1164 1176 1358 1422 1659 1746 1764 1896 2037 2212 2328 2716 2844 3318 3492 3528 3871 4074 4424 4753 4977 5432 5688 6111 6636 6984 7663 7742 8148 9506 9954 11613 12222 13272 14259 15326 15484 16296 19012 19908 22989 23226 24444 28518 30652 30968 34839 38024 39816 42777 45978 46452 48888 53641 57036 61304 68967 69678 85554 91956 92904 107282 114072 137934 139356 160923 171108 183912 214564 275868 278712 321846 342216 375487 429128 482769 551736 643692 750974 965538 1126461 1287384 1501948 1931076 2252922 3003896 3379383 3862152 4505844 6758766 9011688 13517532 27035064