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27132660 = 22325307491
BaseRepresentation
bin110011110000…
…0001011110100
31220001111000100
41213200023310
523421221120
62405314100
7446423652
oct147401364
956044010
1027132660
1114352195
129105930
13580cb39
143863dd2
1525ae490
hex19e02f4

27132660 has 72 divisors (see below), whose sum is σ = 82738656. Its totient is φ = 7197120.

The previous prime is 27132649. The next prime is 27132667. The reversal of 27132660 is 6623172.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27132667) 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, 55015 + ... + 55505.

It is an arithmetic number, because the mean of its divisors is an integer number (1149148).

Almost surely, 227132660 is an apocalyptic number.

27132660 is a gapful number since it is divisible by the number (20) 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 27132660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41369328).

27132660 is an abundant number, since it is smaller than the sum of its proper divisors (55605996).

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

27132660 is a wasteful number, since it uses less digits than its factorization.

27132660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 27132660 is about 5208.9019956225. The cubic root of 27132660 is about 300.4905308279.

It can be divided in two parts, 27132 and 660, that multiplied together give a triangular number (17907120 = T5984).

The spelling of 27132660 in words is "twenty-seven million, one hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 491 614 921 982 1228 1473 1535 1842 1964 2455 2763 2946 3070 3684 4419 4605 4910 5526 5892 6140 7365 8838 9210 9820 11052 13815 14730 17676 18420 22095 27630 29460 44190 55260 88380 150737 301474 452211 602948 753685 904422 1356633 1507370 1808844 2261055 2713266 3014740 4522110 5426532 6783165 9044220 13566330 27132660