Search a number
-
+
20489800 = 2352531933
BaseRepresentation
bin100111000101…
…0011001001000
31102112222201111
41032022121020
520221133200
62011100104
7336106012
oct116123110
942488644
1020489800
1110625321
126a41634
134325356
142a151b2
151beb0ba
hex138a648

20489800 has 48 divisors (see below), whose sum is σ = 48562740. Its totient is φ = 8037120.

The previous prime is 20489789. The next prime is 20489813. The reversal of 20489800 is 898402.

It can be written as a sum of positive squares in 6 ways, for example, as 11573604 + 8916196 = 3402^2 + 2986^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9634 + ... + 11566.

Almost surely, 220489800 is an apocalyptic number.

20489800 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 20489800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24281370).

20489800 is an abundant number, since it is smaller than the sum of its proper divisors (28072940).

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

20489800 is a wasteful number, since it uses less digits than its factorization.

20489800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 20489800 is about 4526.5660273545. The cubic root of 20489800 is about 273.6397845205.

It can be divided in two parts, 2048 and 9800, that multiplied together give a square (20070400 = 44802).

The spelling of 20489800 in words is "twenty million, four hundred eighty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 1933 2120 2650 3866 5300 7732 9665 10600 15464 19330 38660 48325 77320 96650 102449 193300 204898 386600 409796 512245 819592 1024490 2048980 2561225 4097960 5122450 10244900 20489800