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19198140 = 223513151163
BaseRepresentation
bin100100100111…
…1000010111100
31100010100220020
41021033002330
514403320030
61523252140
7322116153
oct111170274
940110806
1019198140
11a922935
12651a050
133c92460
14279a59a
151a43510
hex124f0bc

19198140 has 96 divisors (see below), whose sum is σ = 58630656. Its totient is φ = 4665600.

The previous prime is 19198139. The next prime is 19198147. The reversal of 19198140 is 4189191.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19198147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117699 + ... + 117861.

It is an arithmetic number, because the mean of its divisors is an integer number (610736).

Almost surely, 219198140 is an apocalyptic number.

19198140 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 19198140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29315328).

19198140 is an abundant number, since it is smaller than the sum of its proper divisors (39432516).

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

19198140 is a wasteful number, since it uses less digits than its factorization.

19198140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 19198140 is about 4381.5682124098. The cubic root of 19198140 is about 267.7645329114.

The spelling of 19198140 in words is "nineteen million, one hundred ninety-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 151 156 163 195 260 302 326 390 453 489 604 652 755 780 815 906 978 1510 1630 1812 1956 1963 2119 2265 2445 3020 3260 3926 4238 4530 4890 5889 6357 7852 8476 9060 9780 9815 10595 11778 12714 19630 21190 23556 24613 25428 29445 31785 39260 42380 49226 58890 63570 73839 98452 117780 123065 127140 147678 246130 295356 319969 369195 492260 639938 738390 959907 1279876 1476780 1599845 1919814 3199690 3839628 4799535 6399380 9599070 19198140