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20499984 = 2432294909
BaseRepresentation
bin100111000110…
…0111000010000
31102120111200200
41032030320100
520221444414
62011215200
7336150501
oct116147020
942514620
1020499984
1110631a3a
126a47500
134329b8b
142a18ba8
151bee109
hex138ce10

20499984 has 60 divisors (see below), whose sum is σ = 59361900. Its totient is φ = 6596352.

The previous prime is 20499971. The next prime is 20500019. The reversal of 20499984 is 48999402.

It can be written as a sum of positive squares in 2 ways, for example, as 17040384 + 3459600 = 4128^2 + 1860^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1722 + ... + 6630.

It is an arithmetic number, because the mean of its divisors is an integer number (989365).

Almost surely, 220499984 is an apocalyptic number.

20499984 is a gapful number since it is divisible by the number (24) 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 20499984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29680950).

20499984 is an abundant number, since it is smaller than the sum of its proper divisors (38861916).

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

20499984 is a wasteful number, since it uses less digits than its factorization.

20499984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4952 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 20499984 is about 4527.6908021639. The cubic root of 20499984 is about 273.6851125373.

The spelling of 20499984 in words is "twenty million, four hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 4909 9818 14727 19636 29454 39272 44181 58908 78544 88362 117816 142361 176724 235632 284722 353448 427083 569444 706896 854166 1138888 1281249 1708332 2277776 2562498 3416664 5124996 6833328 10249992 20499984