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20493198 = 23211294383
BaseRepresentation
bin100111000101…
…1001110001110
31102120011101100
41032023032032
520221240243
62011123530
7336121635
oct116131616
942504340
1020493198
1110627930
126a435a6
134326a6b
142a1651c
151bec0d3
hex138b38e

20493198 has 96 divisors (see below), whose sum is σ = 51891840. Its totient is φ = 5785920.

The previous prime is 20493197. The next prime is 20493257. The reversal of 20493198 is 89139402.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20493197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246865 + ... + 246947.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 220493198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20493198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945920).

20493198 is an abundant number, since it is smaller than the sum of its proper divisors (31398642).

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

20493198 is a wasteful number, since it uses less digits than its factorization.

20493198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 20493198 is about 4526.9413515088. The cubic root of 20493198 is about 273.6549103651.

The spelling of 20493198 in words is "twenty million, four hundred ninety-three thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 29 33 43 58 66 83 86 87 99 129 166 174 198 249 258 261 319 387 473 498 522 638 747 774 913 946 957 1247 1419 1494 1826 1914 2407 2494 2739 2838 2871 3569 3741 4257 4814 5478 5742 7138 7221 7482 8217 8514 10707 11223 13717 14442 16434 21414 21663 22446 26477 27434 32121 39259 41151 43326 52954 64242 78518 79431 82302 103501 117777 123453 158862 207002 235554 238293 246906 310503 353331 476586 621006 706662 931509 1138511 1863018 2277022 3415533 6831066 10246599 20493198