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198113040 = 243654379
BaseRepresentation
bin10111100111011…
…11011100010000
3111210210012000000
423303233130100
5401204104130
631354130000
74623635016
oct1363573420
9453705000
10198113040
11a1914294
1256420900
1332076468
141c4508b6
15125d5260
hexbcef710

198113040 has 280 divisors, whose sum is σ = 715608960. Its totient is φ = 50948352.

The previous prime is 198113023. The next prime is 198113051. The reversal of 198113040 is 40311891.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 198112995 and 198113013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2507721 + ... + 2507799.

Almost surely, 2198113040 is an apocalyptic number.

198113040 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 198113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357804480).

198113040 is an abundant number, since it is smaller than the sum of its proper divisors (517495920).

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

198113040 is an equidigital number, since it uses as much as digits as its factorization.

198113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 198113040 is about 14075.2634078372. The cubic root of 198113040 is about 582.9585649014.

The spelling of 198113040 in words is "one hundred ninety-eight million, one hundred thirteen thousand, forty".