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198924128 = 251341107109
BaseRepresentation
bin10111101101101…
…01011101100000
3111212022101121022
423312311131200
5401411033003
631423345012
74633553504
oct1366653540
9455271538
10198924128
11a2318707
1256752168
133229b6b0
141c5c2304
15126e5738
hexbdb5760

198924128 has 96 divisors (see below), whose sum is σ = 440082720. Its totient is φ = 87920640.

The previous prime is 198924127. The next prime is 198924161. The reversal of 198924128 is 821429891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198924127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1824938 + ... + 1825046.

It is an arithmetic number, because the mean of its divisors is an integer number (4584195).

Almost surely, 2198924128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198924128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220041360).

198924128 is an abundant number, since it is smaller than the sum of its proper divisors (241158592).

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

198924128 is a wasteful number, since it uses less digits than its factorization.

198924128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its digits is 82944, while the sum is 44.

The square root of 198924128 is about 14104.0465115512. The cubic root of 198924128 is about 583.7530387589.

The spelling of 198924128 in words is "one hundred ninety-eight million, nine hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 107 109 164 208 214 218 328 416 428 436 533 656 856 872 1066 1312 1391 1417 1712 1744 2132 2782 2834 3424 3488 4264 4387 4469 5564 5668 8528 8774 8938 11128 11336 11663 17056 17548 17876 22256 22672 23326 35096 35752 44512 45344 46652 57031 58097 70192 71504 93304 114062 116194 140384 143008 151619 186608 228124 232388 303238 373216 456248 464776 478183 606476 912496 929552 956366 1212952 1824992 1859104 1912732 2425904 3825464 4851808 6216379 7650928 12432758 15301856 24865516 49731032 99462064 198924128