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198023040 = 27325311109
BaseRepresentation
bin10111100110110…
…01011110000000
3111210121121112200
423303121132000
5401143214130
631352153200
74623111435
oct1363313600
9453547480
10198023040
11a1862706
1256398800
13320444c7
141c429b8c
15125b8760
hexbcd9780

198023040 has 192 divisors, whose sum is σ = 706492800. Its totient is φ = 51056640.

The previous prime is 198023039. The next prime is 198023051. The reversal of 198023040 is 40320891.

198023040 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 (192).

It is a junction number, because it is equal to n+sod(n) for n = 198022995 and 198023013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178006 + ... + 179114.

It is an arithmetic number, because the mean of its divisors is an integer number (3679650).

Almost surely, 2198023040 is an apocalyptic number.

198023040 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 198023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353246400).

198023040 is an abundant number, since it is smaller than the sum of its proper divisors (508469760).

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

198023040 is a wasteful number, since it uses less digits than its factorization.

198023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 198023040 is about 14072.0659464060. The cubic root of 198023040 is about 582.8702748730.

The spelling of 198023040 in words is "one hundred ninety-eight million, twenty-three thousand, forty".