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27906970 = 2572132337
BaseRepresentation
bin110101001110…
…1001110011010
31221111211011111
41222131032122
524121010340
62434050534
7456130300
oct152351632
957454144
1027906970
1114830a13
129419a4a
135a21400
1439c6270
1526b3aea
hex1a9d39a

27906970 has 72 divisors (see below), whose sum is σ = 63462204. Its totient is φ = 8805888.

The previous prime is 27906959. The next prime is 27906971. The reversal of 27906970 is 7960972.

It can be written as a sum of positive squares in 6 ways, for example, as 1147041 + 26759929 = 1071^2 + 5173^2 .

It is not an unprimeable number, because it can be changed into a prime (27906971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82642 + ... + 82978.

Almost surely, 227906970 is an apocalyptic number.

27906970 is an abundant number, since it is smaller than the sum of its proper divisors (35555234).

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

27906970 is a wasteful number, since it uses less digits than its factorization.

27906970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 27906970 is about 5282.7047996268. The cubic root of 27906970 is about 303.3222218152.

The spelling of 27906970 in words is "twenty-seven million, nine hundred six thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 169 182 245 337 338 455 490 637 674 845 910 1183 1274 1685 1690 2359 2366 3185 3370 4381 4718 5915 6370 8281 8762 11795 11830 16513 16562 21905 23590 30667 33026 41405 43810 56953 61334 82565 82810 113906 153335 165130 214669 284765 306670 398671 429338 569530 797342 1073345 1993355 2146690 2790697 3986710 5581394 13953485 27906970