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19981104 = 24311134171
BaseRepresentation
bin100110000111…
…0001100110000
31101121010220220
41030032030300
520103343404
61552133040
7331556643
oct114161460
941533826
1019981104
1110308110
126837180
1341a7950
142921a5a
151b4a4d9
hex130e330

19981104 has 160 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 5376000.

The previous prime is 19981079. The next prime is 19981109. The reversal of 19981104 is 40118991.

19981104 = 6782 + 6792 + ... + 7182.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (19981109) 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, 281389 + ... + 281459.

Almost surely, 219981104 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 19981104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

19981104 is an abundant number, since it is smaller than the sum of its proper divisors (43014864).

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

19981104 is a wasteful number, since it uses less digits than its factorization.

19981104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

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

The square root of 19981104 is about 4470.0228187337. The cubic root of 19981104 is about 271.3562486641.

The spelling of 19981104 in words is "nineteen million, nine hundred eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 41 44 48 52 66 71 78 82 88 104 123 132 142 143 156 164 176 208 213 246 264 284 286 312 328 426 429 451 492 528 533 568 572 624 656 781 852 858 902 923 984 1066 1136 1144 1353 1562 1599 1704 1716 1804 1846 1968 2132 2288 2343 2706 2769 2911 3124 3198 3408 3432 3608 3692 4264 4686 5412 5538 5822 5863 6248 6396 6864 7216 7384 8528 8733 9372 10153 10824 11076 11644 11726 12496 12792 14768 17466 17589 18744 20306 21648 22152 23288 23452 25584 30459 32021 34932 35178 37488 37843 40612 44304 46576 46904 60918 64042 69864 70356 75686 81224 93808 96063 113529 121836 128084 139728 140712 151372 162448 192126 227058 243672 256168 281424 302744 384252 416273 454116 487344 512336 605488 768504 832546 908232 1248819 1537008 1665092 1816464 2497638 3330184 4995276 6660368 9990552 19981104