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20908368 = 2434131773
BaseRepresentation
bin100111111000…
…0100101010000
31110100020220000
41033300211100
520323031433
62024050000
7342501225
oct117604520
943306800
1020908368
1110890848
127003900
134440a20
142ac394c
151c80113
hex13f0950

20908368 has 200 divisors, whose sum is σ = 69948648. Its totient is φ = 5971968.

The previous prime is 20908339. The next prime is 20908397. The reversal of 20908368 is 86380902.

It is an interprime number because it is at equal distance from previous prime (20908339) and next prime (20908397).

It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 18045504 = 1692^2 + 4248^2 .

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286380 + ... + 286452.

Almost surely, 220908368 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 20908368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34974324).

20908368 is an abundant number, since it is smaller than the sum of its proper divisors (49040280).

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

20908368 is a wasteful number, since it uses less digits than its factorization.

20908368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20908368 is about 4572.5668939885. The cubic root of 20908368 is about 275.4905536159.

The spelling of 20908368 in words is "twenty million, nine hundred eight thousand, three hundred sixty-eight".