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20198970 = 2345112267
BaseRepresentation
bin100110100001…
…1011000111010
31102000012210000
41031003120322
520132331340
62000533430
7333455061
oct115033072
942005700
1020198970
1110446870
126921276
134252b6c
14297b1d8
151b8ed30
hex134363a

20198970 has 80 divisors (see below), whose sum is σ = 59276448. Its totient is φ = 4894560.

The previous prime is 20198953. The next prime is 20198977. The reversal of 20198970 is 7989102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20198977) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7777 + ... + 10043.

Almost surely, 220198970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20198970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29638224).

20198970 is an abundant number, since it is smaller than the sum of its proper divisors (39077478).

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

20198970 is a wasteful number, since it uses less digits than its factorization.

20198970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 20198970 is about 4494.3264233921. The cubic root of 20198970 is about 272.3389391364.

The spelling of 20198970 in words is "twenty million, one hundred ninety-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2267 2970 4455 4534 6801 8910 11335 13602 20403 22670 24937 34005 40806 49874 61209 68010 74811 102015 122418 124685 149622 183627 204030 224433 249370 306045 367254 374055 448866 612090 673299 748110 918135 1122165 1346598 1836270 2019897 2244330 3366495 4039794 6732990 10099485 20198970