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20667150 = 2310527
BaseRepresentation
bin100111011010…
…1101100001110
31102220000000000
41032311230032
520242322100
62014545130
7340445040
oct116655416
942800000
1020667150
1110736599
126b081a6
134387caa
142a5da90
151c33900
hex13b5b0e

20667150 has 132 divisors (see below), whose sum is σ = 65898312. Its totient is φ = 4723920.

The previous prime is 20667137. The next prime is 20667151. The reversal of 20667150 is 5176602.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20667151) by changing a digit.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 2952447 + ... + 2952453.

Almost surely, 220667150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20667150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32949156).

20667150 is an abundant number, since it is smaller than the sum of its proper divisors (45231162).

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

20667150 is an frugal number, since it uses more digits than its factorization.

20667150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 20667150 is about 4546.1137249303. The cubic root of 20667150 is about 274.4270163400.

It can be divided in two parts, 2066 and 7150, that added together give a square (9216 = 962).

The spelling of 20667150 in words is "twenty million, six hundred sixty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 243 270 315 350 378 405 450 486 525 567 630 675 729 810 945 1050 1134 1215 1350 1458 1575 1701 1890 2025 2187 2430 2835 3150 3402 3645 4050 4374 4725 5103 5670 6075 6561 7290 8505 9450 10206 10935 12150 13122 14175 15309 17010 18225 19683 21870 25515 28350 30618 32805 36450 39366 42525 45927 51030 54675 59049 65610 76545 85050 91854 98415 109350 118098 127575 137781 153090 164025 196830 229635 255150 275562 295245 328050 382725 413343 459270 492075 590490 688905 765450 826686 984150 1148175 1377810 1476225 2066715 2296350 2952450 3444525 4133430 6889050 10333575 20667150