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20666952 = 2332417001
BaseRepresentation
bin100111011010…
…1101001001000
31102212222201200
41032311221020
520242320302
62014544200
7340444335
oct116655110
942788650
1020666952
1110736429
126b08060
134387b87
142a5d98c
151c3381c
hex13b5a48

20666952 has 48 divisors (see below), whose sum is σ = 57346380. Its totient is φ = 6720000.

The previous prime is 20666941. The next prime is 20666959. The reversal of 20666952 is 25966602.

It can be written as a sum of positive squares in 2 ways, for example, as 18610596 + 2056356 = 4314^2 + 1434^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20666959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549 + ... + 6452.

Almost surely, 220666952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20666952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28673190).

20666952 is an abundant number, since it is smaller than the sum of its proper divisors (36679428).

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

20666952 is a wasteful number, since it uses less digits than its factorization.

20666952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 20666952 is about 4546.0919480362. The cubic root of 20666952 is about 274.4261399618.

The spelling of 20666952 in words is "twenty million, six hundred sixty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 7001 14002 21003 28004 42006 56008 63009 84012 126018 168024 252036 287041 504072 574082 861123 1148164 1722246 2296328 2583369 3444492 5166738 6888984 10333476 20666952