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19999960 = 235311272
BaseRepresentation
bin100110001001…
…0110011011000
31101122002210021
41030102303120
520104444320
61552400224
7331665631
oct114226330
941562707
1019999960
11103202a2
126846074
1341b33c6
142928888
151b50daa
hex1312cd8

19999960 has 48 divisors (see below), whose sum is σ = 46820160. Its totient is φ = 7680960.

The previous prime is 19999927. The next prime is 19999963. The reversal of 19999960 is 6999991.

It is a junction number, because it is equal to n+sod(n) for n = 19999898 and 19999907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19999963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157417 + ... + 157543.

It is an arithmetic number, because the mean of its divisors is an integer number (975420).

Almost surely, 219999960 is an apocalyptic number.

19999960 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 19999960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23410080).

19999960 is an abundant number, since it is smaller than the sum of its proper divisors (26820200).

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

19999960 is a wasteful number, since it uses less digits than its factorization.

19999960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 354294, while the sum is 52.

The square root of 19999960 is about 4472.1314828614. The cubic root of 19999960 is about 271.4415806982.

The spelling of 19999960 in words is "nineteen million, nine hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 127 155 248 254 310 508 620 635 1016 1240 1270 2540 3937 5080 7874 15748 16129 19685 31496 32258 39370 64516 78740 80645 129032 157480 161290 322580 499999 645160 999998 1999996 2499995 3999992 4999990 9999980 19999960