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20198880 = 2532513283
BaseRepresentation
bin100110100001…
…1010111100000
31102000012122200
41031003113200
520132331010
62000533200
7333454602
oct115032740
942005580
1020198880
1110446799
126921200
134252b00
14297b172
151b8ecc0
hex13435e0

20198880 has 216 divisors, whose sum is σ = 75538008. Its totient is φ = 4912128.

The previous prime is 20198837. The next prime is 20198903. The reversal of 20198880 is 8889102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 243319 + ... + 243401.

It is an arithmetic number, because the mean of its divisors is an integer number (349713).

Almost surely, 220198880 is an apocalyptic number.

20198880 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 20198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37769004).

20198880 is an abundant number, since it is smaller than the sum of its proper divisors (55339128).

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

20198880 is a wasteful number, since it uses less digits than its factorization.

20198880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 20198880 is about 4494.3164107570. The cubic root of 20198880 is about 272.3385346514.

The spelling of 20198880 in words is "twenty million, one hundred ninety-eight thousand, eight hundred eighty".