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19998240 = 253561683
BaseRepresentation
bin100110001001…
…0011000100000
31101122000102120
41030102120200
520104420430
61552344240
7331660623
oct114223040
941560376
1019998240
1110319a79
126845080
1341b26a2
142927dba
151b50610
hex1312620

19998240 has 96 divisors (see below), whose sum is σ = 64120896. Its totient is φ = 5237760.

The previous prime is 19998229. The next prime is 19998263. The reversal of 19998240 is 4289991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19998192 and 19998201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28939 + ... + 29621.

It is an arithmetic number, because the mean of its divisors is an integer number (667926).

Almost surely, 219998240 is an apocalyptic number.

19998240 is a gapful number since it is divisible by the number (10) 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 19998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060448).

19998240 is an abundant number, since it is smaller than the sum of its proper divisors (44122656).

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

19998240 is a wasteful number, since it uses less digits than its factorization.

19998240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 19998240 is about 4471.9391766883. The cubic root of 19998240 is about 271.4337991342.

The spelling of 19998240 in words is "nineteen million, nine hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 683 732 915 976 1220 1366 1464 1830 1952 2049 2440 2732 2928 3415 3660 4098 4880 5464 5856 6830 7320 8196 9760 10245 10928 13660 14640 16392 20490 21856 27320 29280 32784 40980 41663 54640 65568 81960 83326 109280 124989 163920 166652 208315 249978 327840 333304 416630 499956 624945 666608 833260 999912 1249890 1333216 1666520 1999824 2499780 3333040 3999648 4999560 6666080 9999120 19998240