Search a number
-
+
27091148 = 2272323159
BaseRepresentation
bin110011101011…
…0000011001100
31212222101001212
41213112003030
523413404043
62404353552
7446161640
oct147260314
955871055
1027091148
1114323a87
1290a58b8
1357c6c86
143852c20
1525a2018
hex19d60cc

27091148 has 72 divisors (see below), whose sum is σ = 59458560. Its totient is φ = 10565280.

The previous prime is 27091147. The next prime is 27091157. The reversal of 27091148 is 84119072.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27091147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459143 + ... + 459201.

Almost surely, 227091148 is an apocalyptic number.

27091148 is a gapful number since it is divisible by the number (28) 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 27091148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29729280).

27091148 is an abundant number, since it is smaller than the sum of its proper divisors (32367412).

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

27091148 is a wasteful number, since it uses less digits than its factorization.

27091148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 27091148 is about 5204.9157534008. The cubic root of 27091148 is about 300.3372060168.

The spelling of 27091148 in words is "twenty-seven million, ninety-one thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 31 46 59 62 92 118 124 161 217 236 322 413 434 529 644 713 826 868 1058 1357 1426 1652 1829 2116 2714 2852 3658 3703 4991 5428 7316 7406 9499 9982 12803 14812 16399 18998 19964 25606 31211 32798 37996 42067 51212 62422 65596 84134 114793 124844 168268 218477 229586 294469 436954 459172 588938 873908 967541 1177876 1935082 3870164 6772787 13545574 27091148