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18820494 = 23271137367
BaseRepresentation
bin100011111001…
…0110110001110
31022102011212100
41013302312032
514304223434
61511215530
7315654150
oct107626616
938364770
1018820494
11a695130
1263775a6
133b8c5b4
1426dcad0
1519bb699
hex11f2d8e

18820494 has 96 divisors (see below), whose sum is σ = 52356096. Its totient is φ = 4743360.

The previous prime is 18820493. The next prime is 18820519. The reversal of 18820494 is 49402881.

18820494 = T77 + T78 + ... + T483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18820493) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51099 + ... + 51465.

It is an arithmetic number, because the mean of its divisors is an integer number (545376).

Almost surely, 218820494 is an apocalyptic number.

18820494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18820494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26178048).

18820494 is an abundant number, since it is smaller than the sum of its proper divisors (33535602).

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

18820494 is a wasteful number, since it uses less digits than its factorization.

18820494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 18820494 is about 4338.2593283482. The cubic root of 18820494 is about 265.9971639323.

The spelling of 18820494 in words is "eighteen million, eight hundred twenty thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 37 42 63 66 74 77 99 111 126 154 198 222 231 259 333 367 407 462 518 666 693 734 777 814 1101 1221 1386 1554 2202 2331 2442 2569 2849 3303 3663 4037 4662 5138 5698 6606 7326 7707 8074 8547 12111 13579 15414 17094 23121 24222 25641 27158 28259 36333 40737 46242 51282 56518 72666 81474 84777 95053 122211 149369 169554 190106 244422 254331 285159 298738 448107 508662 570318 855477 896214 1045583 1344321 1710954 2091166 2688642 3136749 6273498 9410247 18820494