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20807388 = 22337171619
BaseRepresentation
bin100111101011…
…1111011011100
31110011010101000
41033113323130
520311314023
62021550300
7341600640
oct117277334
943133330
1020807388
1110821998
126b75390
134406a84
142a98c20
151c60243
hex13d7edc

20807388 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 5591808.

The previous prime is 20807383. The next prime is 20807393. The reversal of 20807388 is 88370802.

It is an interprime number because it is at equal distance from previous prime (20807383) and next prime (20807393).

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 (20807383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12043 + ... + 13661.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 220807388 is an apocalyptic number.

20807388 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20807388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

20807388 is an abundant number, since it is smaller than the sum of its proper divisors (44511012).

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

20807388 is a wasteful number, since it uses less digits than its factorization.

20807388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 20807388 is about 4561.5115915670. The cubic root of 20807388 is about 275.0463304861.

The spelling of 20807388 in words is "twenty million, eight hundred seven thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1619 1836 2142 3213 3238 4284 4857 6426 6476 9714 11333 12852 14571 19428 22666 27523 29142 33999 43713 45332 55046 58284 67998 82569 87426 101997 110092 135996 165138 174852 192661 203994 247707 305991 330276 385322 407988 495414 577983 611982 743121 770644 990828 1155966 1223964 1486242 1733949 2311932 2972484 3467898 5201847 6935796 10403694 20807388