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27920106 = 233677717
BaseRepresentation
bin110101010000…
…0011011101010
31221112111012000
41222200123222
524121420411
62434231430
7456213504
oct152403352
957474160
1027920106
111483a875
129425576
135a27396
1439cad74
1526b7956
hex1aa06ea

27920106 has 32 divisors (see below), whose sum is σ = 62978880. Its totient is φ = 9166608.

The previous prime is 27920093. The next prime is 27920117. The reversal of 27920106 is 60102972.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 27920106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241 + ... + 7476.

It is an arithmetic number, because the mean of its divisors is an integer number (1968090).

Almost surely, 227920106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27920106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31489440).

27920106 is an abundant number, since it is smaller than the sum of its proper divisors (35058774).

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

27920106 is a wasteful number, since it uses less digits than its factorization.

27920106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7795 (or 7789 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 27920106 is about 5283.9479558376. The cubic root of 27920106 is about 303.3698062920.

The spelling of 27920106 in words is "twenty-seven million, nine hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3618 7717 15434 23151 46302 69453 138906 208359 416718 517039 1034078 1551117 3102234 4653351 9306702 13960053 27920106