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27189144 = 2332894243
BaseRepresentation
bin110011110110…
…1111110011000
31220011100111100
41213231332120
523430023034
62410431400
7450050433
oct147557630
956140440
1027189144
1114390674
129132560
13582c768
14387a81a
1525c1099
hex19edf98

27189144 has 48 divisors (see below), whose sum is σ = 74482200. Its totient is φ = 8959104.

The previous prime is 27189143. The next prime is 27189161. The reversal of 27189144 is 44198172.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27189099 and 27189108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27189143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4287 + ... + 8529.

Almost surely, 227189144 is an apocalyptic number.

27189144 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 27189144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37241100).

27189144 is an abundant number, since it is smaller than the sum of its proper divisors (47293056).

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

27189144 is a wasteful number, since it uses less digits than its factorization.

27189144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4337 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 27189144 is about 5214.3210488040. The cubic root of 27189144 is about 300.6989038470.

Subtracting 27189144 from its reverse (44198172), we obtain a triangular number (17009028 = T5832).

The spelling of 27189144 in words is "twenty-seven million, one hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 4243 6408 8486 12729 16972 25458 33944 38187 50916 76374 101832 152748 305496 377627 755254 1132881 1510508 2265762 3021016 3398643 4531524 6797286 9063048 13594572 27189144