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16864974 = 2327137977
BaseRepresentation
bin100000001010…
…1011011001110
31011201211101200
41000111123032
513304134344
61401250330
7263231010
oct100253316
934654350
1016864974
1195799a5
1257939a6
133656499
1423501b0
151732069
hex10156ce

16864974 has 48 divisors (see below), whose sum is σ = 42108768. Its totient is φ = 4778496.

The previous prime is 16864943. The next prime is 16864993. The reversal of 16864974 is 47946861.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16774 + ... + 17750.

It is an arithmetic number, because the mean of its divisors is an integer number (877266).

Almost surely, 216864974 is an apocalyptic number.

16864974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16864974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21054384).

16864974 is an abundant number, since it is smaller than the sum of its proper divisors (25243794).

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

16864974 is a wasteful number, since it uses less digits than its factorization.

16864974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1126 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 16864974 is about 4106.6986741177. The cubic root of 16864974 is about 256.4455842525.

The spelling of 16864974 in words is "sixteen million, eight hundred sixty-four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 411 822 959 977 1233 1918 1954 2466 2877 2931 5754 5862 6839 8631 8793 13678 17262 17586 20517 41034 61551 123102 133849 267698 401547 803094 936943 1204641 1873886 2409282 2810829 5621658 8432487 16864974