Search a number
-
+
27141192 = 233213107271
BaseRepresentation
bin110011110001…
…0010001001000
31220001220201100
41213202101020
523422004232
62405421400
7446460561
oct147422110
956056640
1027141192
1114358641
12910a860
1358139a0
143867168
1525b1c7c
hex19e2448

27141192 has 96 divisors (see below), whose sum is σ = 80196480. Its totient is φ = 8242560.

The previous prime is 27141167. The next prime is 27141199. The reversal of 27141192 is 29114172.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27141199) 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, 100017 + ... + 100287.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 227141192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27141192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

27141192 is an abundant number, since it is smaller than the sum of its proper divisors (53055288).

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

27141192 is a wasteful number, since it uses less digits than its factorization.

27141192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 27141192 is about 5209.7209138302. The cubic root of 27141192 is about 300.5220244414.

The spelling of 27141192 in words is "twenty-seven million, one hundred forty-one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 107 117 156 214 234 271 312 321 428 468 542 642 813 856 936 963 1084 1284 1391 1626 1926 2168 2439 2568 2782 3252 3523 3852 4173 4878 5564 6504 7046 7704 8346 9756 10569 11128 12519 14092 16692 19512 21138 25038 28184 28997 31707 33384 42276 50076 57994 63414 84552 86991 100152 115988 126828 173982 231976 253656 260973 347964 376961 521946 695928 753922 1043892 1130883 1507844 2087784 2261766 3015688 3392649 4523532 6785298 9047064 13570596 27141192