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16999968 = 253612903
BaseRepresentation
bin100000011011…
…0011000100000
31011222200120110
41000312120200
513322444333
61404211320
7264332406
oct100663040
934880513
1016999968
119661367
125839b40
1336a2a6b
142387476
15175c063
hex1036620

16999968 has 48 divisors (see below), whose sum is σ = 45372096. Its totient is φ = 5571840.

The previous prime is 16999963. The next prime is 16999999. The reversal of 16999968 is 86999961.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (16999963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4405 + ... + 7307.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 216999968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22686048).

16999968 is an abundant number, since it is smaller than the sum of its proper divisors (28372128).

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

16999968 is a wasteful number, since it uses less digits than its factorization.

16999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2969 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 57.

The square root of 16999968 is about 4123.1017450458. The cubic root of 16999968 is about 257.1279977304.

The spelling of 16999968 in words is "sixteen million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2903 2928 5806 5856 8709 11612 17418 23224 34836 46448 69672 92896 139344 177083 278688 354166 531249 708332 1062498 1416664 2124996 2833328 4249992 5666656 8499984 16999968