Search a number
-
+
27166104 = 2334753113
BaseRepresentation
bin110011110100…
…0010110011000
31220010011220000
41213220112120
523423303404
62410133000
7446623320
oct147502630
956104800
1027166104
1114375329
129121160
135822124
143872280
1525b9339
hex19e8598

27166104 has 160 divisors (see below), whose sum is σ = 89385120. Its totient is φ = 7547904.

The previous prime is 27166099. The next prime is 27166129. The reversal of 27166104 is 40166172.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 240352 + ... + 240464.

It is an arithmetic number, because the mean of its divisors is an integer number (558657).

Almost surely, 227166104 is an apocalyptic number.

27166104 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 27166104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44692560).

27166104 is an abundant number, since it is smaller than the sum of its proper divisors (62219016).

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

27166104 is a wasteful number, since it uses less digits than its factorization.

27166104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

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

The square root of 27166104 is about 5212.1112804697. Note that the first 3 decimals coincide. The cubic root of 27166104 is about 300.6139427240.

The spelling of 27166104 in words is "twenty-seven million, one hundred sixty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 81 84 106 108 113 126 159 162 168 189 212 216 226 252 318 324 339 371 378 424 452 477 504 567 636 648 678 742 756 791 904 954 1017 1113 1134 1272 1356 1431 1484 1512 1582 1908 2034 2226 2268 2373 2712 2862 2968 3051 3164 3339 3816 4068 4293 4452 4536 4746 5724 5989 6102 6328 6678 7119 8136 8586 8904 9153 9492 10017 11448 11978 12204 13356 14238 17172 17967 18306 18984 20034 21357 23956 24408 26712 28476 30051 34344 35934 36612 40068 41923 42714 47912 53901 56952 60102 64071 71868 73224 80136 83846 85428 107802 120204 125769 128142 143736 161703 167692 170856 215604 240408 251538 256284 323406 335384 377307 431208 485109 503076 512568 646812 754614 970218 1006152 1131921 1293624 1509228 1940436 2263842 3018456 3395763 3880872 4527684 6791526 9055368 13583052 27166104