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20979800 = 2352195521
BaseRepresentation
bin101000000001…
…0000001011000
31110110212212122
41100002001120
520332323200
62025400412
7343216412
oct120020130
943425778
1020979800
111092a486
127039108
1344673aa
142b019b2
151c96385
hex1402058

20979800 has 48 divisors (see below), whose sum is σ = 51354600. Its totient is φ = 7948800.

The previous prime is 20979799. The next prime is 20979809. The reversal of 20979800 is 897902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20979809) 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, 1040 + ... + 6560.

Almost surely, 220979800 is an apocalyptic number.

20979800 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 20979800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25677300).

20979800 is an abundant number, since it is smaller than the sum of its proper divisors (30374800).

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

20979800 is a wasteful number, since it uses less digits than its factorization.

20979800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 20979800 is about 4580.3711639997. The cubic root of 20979800 is about 275.8039285159.

It can be divided in two parts, 209 and 79800, that multiplied together give a triangular number (16678200 = T5775).

The spelling of 20979800 in words is "twenty million, nine hundred seventy-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 5521 11042 22084 27605 44168 55210 104899 110420 138025 209798 220840 276050 419596 524495 552100 839192 1048990 1104200 2097980 2622475 4195960 5244950 10489900 20979800