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27666672 = 2431161859
BaseRepresentation
bin110100110001…
…0100011110000
31221001121112120
41221202203300
524040313142
62424554240
7454106565
oct151424360
957047476
1027666672
1114687420
129322980
135968c17
14396286c
1526677ec
hex1a628f0

27666672 has 80 divisors (see below), whose sum is σ = 79340160. Its totient is φ = 8236800.

The previous prime is 27666671. The next prime is 27666721.

27666672 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27666671) 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 15 ways as a sum of consecutive naturals, for example, 31779 + ... + 32637.

It is an arithmetic number, because the mean of its divisors is an integer number (991752).

Almost surely, 227666672 is an apocalyptic number.

27666672 is a gapful number since it is divisible by the number (22) 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 27666672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39670080).

27666672 is an abundant number, since it is smaller than the sum of its proper divisors (51673488).

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

27666672 is a wasteful number, since it uses less digits than its factorization.

27666672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 27666672 is about 5259.9117863325. The cubic root of 27666672 is about 302.4491073912.

The spelling of 27666672 in words is "twenty-seven million, six hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 183 244 264 366 488 528 671 732 859 976 1342 1464 1718 2013 2577 2684 2928 3436 4026 5154 5368 6872 8052 9449 10308 10736 13744 16104 18898 20616 28347 32208 37796 41232 52399 56694 75592 104798 113388 151184 157197 209596 226776 314394 419192 453552 576389 628788 838384 1152778 1257576 1729167 2305556 2515152 3458334 4611112 6916668 9222224 13833336 27666672