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198059920 = 24517913831
BaseRepresentation
bin10111100111000…
…10011110010000
3111210200111010121
423303202132100
5401200404140
631353040024
74623324112
oct1363423620
9453614117
10198059920
11a1888393
12563b6014
1332058226
141c4393b2
15125c464a
hexbce2790

198059920 has 40 divisors (see below), whose sum is σ = 463095360. Its totient is φ = 78775680.

The previous prime is 198059893. The next prime is 198059921. The reversal of 198059920 is 29950891.

198059920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (198059921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7405 + ... + 21235.

It is an arithmetic number, because the mean of its divisors is an integer number (11577384).

Almost surely, 2198059920 is an apocalyptic number.

198059920 is a gapful number since it is divisible by the number (10) 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 198059920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

198059920 is an abundant number, since it is smaller than the sum of its proper divisors (265035440).

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

198059920 is a wasteful number, since it uses less digits than its factorization.

198059920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14023 (or 14017 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 43.

The square root of 198059920 is about 14073.3762828967. The cubic root of 198059920 is about 582.9064573990.

The spelling of 198059920 in words is "one hundred ninety-eight million, fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 13831 14320 27662 55324 69155 110648 138310 221296 276620 553240 1106480 2475749 4951498 9902996 12378745 19805992 24757490 39611984 49514980 99029960 198059920