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27133218 = 234771337
BaseRepresentation
bin110011110000…
…0010100100010
31220001111210000
41213200110202
523421230333
62405320430
7446425410
oct147402442
956044700
1027133218
1114352652
129106116
135810178
1438642b0
1525ae713
hex19e0522

27133218 has 80 divisors (see below), whose sum is σ = 70671744. Its totient is φ = 7620480.

The previous prime is 27133213. The next prime is 27133231. The reversal of 27133218 is 81233172.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27133191 and 27133200.

It is not an unprimeable number, because it can be changed into a prime (27133213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80346 + ... + 80682.

Almost surely, 227133218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27133218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35335872).

27133218 is an abundant number, since it is smaller than the sum of its proper divisors (43538526).

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

27133218 is a wasteful number, since it uses less digits than its factorization.

27133218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 27133218 is about 5208.9555574990. The cubic root of 27133218 is about 300.4925907385.

It can be divided in two parts, 271 and 33218, that added together give a square (33489 = 1832).

The spelling of 27133218 in words is "twenty-seven million, one hundred thirty-three thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 81 126 142 162 189 213 337 378 426 497 567 639 674 994 1011 1134 1278 1491 1917 2022 2359 2982 3033 3834 4473 4718 5751 6066 7077 8946 9099 11502 13419 14154 18198 21231 23927 26838 27297 40257 42462 47854 54594 63693 71781 80514 127386 143562 167489 191079 215343 334978 382158 430686 502467 646029 1004934 1292058 1507401 1938087 3014802 3876174 4522203 9044406 13566609 27133218