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20629880 = 23531127131
BaseRepresentation
bin100111010110…
…0100101111000
31102211002212122
41032230211320
520240124010
62014100412
7340231265
oct116544570
942732778
1020629880
1110710597
126aaa708
13437403b
142a5026c
151c27855
hex13ac978

20629880 has 64 divisors (see below), whose sum is σ = 48660480. Its totient is φ = 7862400.

The previous prime is 20629867. The next prime is 20629883. The reversal of 20629880 is 8892602.

It is a self number, because there is not a number n which added to its sum of digits gives 20629880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20629883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157415 + ... + 157545.

It is an arithmetic number, because the mean of its divisors is an integer number (760320).

Almost surely, 220629880 is an apocalyptic number.

20629880 is a gapful number since it is divisible by the number (20) 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 20629880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24330240).

20629880 is an abundant number, since it is smaller than the sum of its proper divisors (28030600).

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

20629880 is a wasteful number, since it uses less digits than its factorization.

20629880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 20629880 is about 4542.0127696870. The cubic root of 20629880 is about 274.2619548905.

The spelling of 20629880 in words is "twenty million, six hundred twenty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 127 131 155 248 254 262 310 508 524 620 635 655 1016 1048 1240 1270 1310 2540 2620 3937 4061 5080 5240 7874 8122 15748 16244 16637 19685 20305 31496 32488 33274 39370 40610 66548 78740 81220 83185 133096 157480 162440 166370 332740 515747 665480 1031494 2062988 2578735 4125976 5157470 10314940 20629880