Search a number
-
+
27321144 = 2333133637
BaseRepresentation
bin110100000111…
…0001100111000
31220102001120020
41220032030320
523443234034
62413330440
7451140324
oct150161470
956361506
1027321144
1114470864
129196a20
135877876
1438b2984
1525ea249
hex1a0e338

27321144 has 32 divisors (see below), whose sum is σ = 68539920. Its totient is φ = 9075456.

The previous prime is 27321127. The next prime is 27321149. The reversal of 27321144 is 44112372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27321149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5694 + ... + 9330.

Almost surely, 227321144 is an apocalyptic number.

27321144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27321144 is an abundant number, since it is smaller than the sum of its proper divisors (41218776).

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

27321144 is a wasteful number, since it uses less digits than its factorization.

27321144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3955 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 27321144 is about 5226.9631718618. The cubic root of 27321144 is about 301.1847373877.

The spelling of 27321144 in words is "twenty-seven million, three hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 313 626 939 1252 1878 2504 3637 3756 7274 7512 10911 14548 21822 29096 43644 87288 1138381 2276762 3415143 4553524 6830286 9107048 13660572 27321144