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19869984 = 253268993
BaseRepresentation
bin100101111001…
…1000100100000
31101101111111100
41023303010200
520041314414
61545514400
7330614661
oct113630440
941344440
1019869984
1110241682
1267a2a00
1341691b4
1428d3368
151b27609
hex12f3120

19869984 has 36 divisors (see below), whose sum is σ = 56506086. Its totient is φ = 6623232.

The previous prime is 19869979. The next prime is 19870003. The reversal of 19869984 is 48996891.

It can be written as a sum of positive squares in only one way, i.e., 19184400 + 685584 = 4380^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19869984.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34209 + ... + 34784.

Almost surely, 219869984 is an apocalyptic number.

It is an amenable number.

19869984 is an abundant number, since it is smaller than the sum of its proper divisors (36636102).

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

19869984 is a wasteful number, since it uses less digits than its factorization.

19869984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69009 (or 68998 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 19869984 is about 4457.5760229075. The cubic root of 19869984 is about 270.8522862529.

The spelling of 19869984 in words is "nineteen million, eight hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 68993 137986 206979 275972 413958 551944 620937 827916 1103888 1241874 1655832 2207776 2483748 3311664 4967496 6623328 9934992 19869984