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27989712 = 243523313
BaseRepresentation
bin110101011000…
…1011011010000
31221200000200000
41222301123100
524131132322
62435530000
7456623442
oct152613320
957600600
1027989712
11148880a3
129459900
135a4cc7a
143a08492
1526cd3ac
hex1ab16d0

27989712 has 120 divisors (see below), whose sum is σ = 85036224. Its totient is φ = 8895744.

The previous prime is 27989711. The next prime is 27989729. The reversal of 27989712 is 21798972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27989711) 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, 89268 + ... + 89580.

Almost surely, 227989712 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 27989712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42518112).

27989712 is an abundant number, since it is smaller than the sum of its proper divisors (57046512).

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

27989712 is a wasteful number, since it uses less digits than its factorization.

27989712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 341 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 27989712 is about 5290.5304081916. The cubic root of 27989712 is about 303.6217016467.

The spelling of 27989712 in words is "twenty-seven million, nine hundred eighty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 313 324 368 414 432 486 552 621 626 648 828 939 972 1104 1242 1252 1296 1656 1863 1878 1944 2484 2504 2817 3312 3726 3756 3888 4968 5008 5589 5634 7199 7452 7512 8451 9936 11178 11268 14398 14904 15024 16902 21597 22356 22536 25353 28796 29808 33804 43194 44712 45072 50706 57592 64791 67608 76059 86388 89424 101412 115184 129582 135216 152118 172776 194373 202824 259164 304236 345552 388746 405648 518328 583119 608472 777492 1036656 1166238 1216944 1554984 1749357 2332476 3109968 3498714 4664952 6997428 9329904 13994856 27989712