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20937168 = 2432720771
BaseRepresentation
bin100111111011…
…1100111010000
31110101201101200
41033313213100
520324442133
62024431200
7342651210
oct117674720
943351350
1020937168
111090044a
127018500
134450b75
142ad0240
151c88913
hex13f79d0

20937168 has 60 divisors (see below), whose sum is σ = 66968928. Its totient is φ = 5981760.

The previous prime is 20937157. The next prime is 20937179. The reversal of 20937168 is 86173902.

It is an interprime number because it is at equal distance from previous prime (20937157) and next prime (20937179).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9378 + ... + 11393.

Almost surely, 220937168 is an apocalyptic number.

20937168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20937168 is an abundant number, since it is smaller than the sum of its proper divisors (46031760).

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

20937168 is a wasteful number, since it uses less digits than its factorization.

20937168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20792 (or 20783 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 20937168 is about 4575.7150260916. The cubic root of 20937168 is about 275.6169860536.

It can be divided in two parts, 2093 and 7168, that added together give a cube (9261 = 213).

The spelling of 20937168 in words is "twenty million, nine hundred thirty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 20771 41542 62313 83084 124626 145397 166168 186939 249252 290794 332336 373878 436191 498504 581588 747756 872382 997008 1163176 1308573 1495512 1744764 2326352 2617146 2991024 3489528 5234292 6979056 10468584 20937168