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19900908 = 22324197139
BaseRepresentation
bin100101111101…
…0100111101100
31101110001220200
41023322213230
520043312113
61550313500
7331104066
oct113724754
941401820
1019900908
1110262935
1267b8890
13417a2b1
142900736
151b31873
hex12fa9ec

19900908 has 72 divisors (see below), whose sum is σ = 52437840. Its totient is φ = 6359040.

The previous prime is 19900901. The next prime is 19900919. The reversal of 19900908 is 80900991.

It is a super-3 number, since 3×199009083 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19900901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143103 + ... + 143241.

Almost surely, 219900908 is an apocalyptic number.

19900908 is a gapful number since it is divisible by the number (18) 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 19900908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26218920).

19900908 is an abundant number, since it is smaller than the sum of its proper divisors (32536932).

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

19900908 is a wasteful number, since it uses less digits than its factorization.

19900908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 19900908 is about 4461.0433757138. The cubic root of 19900908 is about 270.9927241230.

The spelling of 19900908 in words is "nineteen million, nine hundred thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 97 123 139 164 194 246 278 291 369 388 417 492 556 582 738 834 873 1164 1251 1476 1668 1746 2502 3492 3977 5004 5699 7954 11398 11931 13483 15908 17097 22796 23862 26966 34194 35793 40449 47724 51291 53932 68388 71586 80898 102582 121347 143172 161796 205164 242694 485388 552803 1105606 1658409 2211212 3316818 4975227 6633636 9950454 19900908