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20957148 = 22321493907
BaseRepresentation
bin100111111110…
…0011111011100
31110102201210200
41033330133130
520331112043
62025103500
7343063362
oct117743734
943381720
1020957148
1110914463
127027b90
134459ca4
142ad7632
151c8e7d3
hex13fc7dc

20957148 has 36 divisors (see below), whose sum is σ = 53344200. Its totient is φ = 6937056.

The previous prime is 20957129. The next prime is 20957161. The reversal of 20957148 is 84175902.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3411 + ... + 7317.

Almost surely, 220957148 is an apocalyptic number.

It is an amenable number.

20957148 is an abundant number, since it is smaller than the sum of its proper divisors (32387052).

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

20957148 is a wasteful number, since it uses less digits than its factorization.

20957148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 20957148 is about 4577.8977708114. The cubic root of 20957148 is about 275.7046304541.

The spelling of 20957148 in words is "twenty million, nine hundred fifty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 3907 5364 7814 11721 15628 23442 35163 46884 70326 140652 582143 1164286 1746429 2328572 3492858 5239287 6985716 10478574 20957148