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20386842 = 2372174079
BaseRepresentation
bin100110111000…
…1010000011010
31102100202111020
41031301100122
520204334332
62004543310
7335166600
oct115612032
942322436
1020386842
1110564a33
1269b1b36
1342ba528
1429c9870
151bca82c
hex137141a

20386842 has 48 divisors (see below), whose sum is σ = 50232960. Its totient is φ = 5480832.

The previous prime is 20386837. The next prime is 20386843. The reversal of 20386842 is 24868302.

It is not an unprimeable number, because it can be changed into a prime (20386843) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2959 + ... + 7037.

It is an arithmetic number, because the mean of its divisors is an integer number (1046520).

Almost surely, 220386842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20386842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116480).

20386842 is an abundant number, since it is smaller than the sum of its proper divisors (29846118).

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

20386842 is a wasteful number, since it uses less digits than its factorization.

20386842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 20386842 is about 4515.1790662165. The cubic root of 20386842 is about 273.1806824945.

The spelling of 20386842 in words is "twenty million, three hundred eighty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 2499 4079 4998 8158 12237 24474 28553 57106 69343 85659 138686 171318 199871 208029 399742 416058 485401 599613 970802 1199226 1456203 2912406 3397807 6795614 10193421 20386842