Search a number
-
+
27132192 = 2533311013
BaseRepresentation
bin110011110000…
…0000100100000
31220001110101000
41213200010200
523421212232
62405312000
7446422413
oct147400440
956043330
1027132192
11143518aa
129105600
13580c869
143863b7a
1525ae27c
hex19e0120

27132192 has 96 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 8743680.

The previous prime is 27132179. The next prime is 27132199. The reversal of 27132192 is 29123172.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (27132199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26278 + ... + 27290.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 227132192 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 27132192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884480).

27132192 is an abundant number, since it is smaller than the sum of its proper divisors (54636768).

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

27132192 is a wasteful number, since it uses less digits than its factorization.

27132192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1049 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 27132192 is about 5208.8570723336. The cubic root of 27132192 is about 300.4888031391.

The spelling of 27132192 in words is "twenty-seven million, one hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1013 1116 1488 1674 2026 2232 2976 3039 3348 4052 4464 6078 6696 8104 8928 9117 12156 13392 16208 18234 24312 26784 27351 31403 32416 36468 48624 54702 62806 72936 94209 97248 109404 125612 145872 188418 218808 251224 282627 291744 376836 437616 502448 565254 753672 847881 875232 1004896 1130508 1507344 1695762 2261016 3014688 3391524 4522032 6783048 9044064 13566096 27132192