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20957116 = 2231169009
BaseRepresentation
bin100111111110…
…0011110111100
31110102201202111
41033330132330
520331111431
62025103404
7343063315
oct117743674
943381674
1020957116
1110914434
127027b64
134459c7b
142ad760c
151c8e7b1
hex13fc7bc

20957116 has 12 divisors (see below), whose sum is σ = 37858240. Its totient is φ = 10140480.

The previous prime is 20957113. The next prime is 20957129. The reversal of 20957116 is 61175902.

It is a super-3 number, since 3×209571163 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20957113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84381 + ... + 84628.

Almost surely, 220957116 is an apocalyptic number.

It is an amenable number.

20957116 is a deficient number, since it is larger than the sum of its proper divisors (16901124).

20957116 is a wasteful number, since it uses less digits than its factorization.

20957116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169044 (or 169042 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 20957116 is about 4577.8942757560. The cubic root of 20957116 is about 275.7044901273.

The spelling of 20957116 in words is "twenty million, nine hundred fifty-seven thousand, one hundred sixteen".

Divisors: 1 2 4 31 62 124 169009 338018 676036 5239279 10478558 20957116