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16987971 = 3711135657
BaseRepresentation
bin100000011001…
…1011101000011
31011222002010010
41000303131003
513322103341
61404040003
7264252420
oct100633503
934862103
1016987971
119653350
125833003
13369a470
142382d47
151758716
hex1033743

16987971 has 32 divisors (see below), whose sum is σ = 30417408. Its totient is φ = 8144640.

The previous prime is 16987963. The next prime is 16987973. The reversal of 16987971 is 17978961.

It is a happy number.

It is not a de Polignac number, because 16987971 - 23 = 16987963 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16987971.

It is not an unprimeable number, because it can be changed into a prime (16987973) 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 31 ways as a sum of consecutive naturals, for example, 175 + ... + 5831.

It is an arithmetic number, because the mean of its divisors is an integer number (950544).

Almost surely, 216987971 is an apocalyptic number.

16987971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16987971 is a deficient number, since it is larger than the sum of its proper divisors (13429437).

16987971 is a wasteful number, since it uses less digits than its factorization.

16987971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691.

The product of its digits is 190512, while the sum is 48.

The square root of 16987971 is about 4121.6466369644. The cubic root of 16987971 is about 257.0674978024.

It can be divided in two parts, 1698 and 7971, that added together give a palindrome (9669).

The spelling of 16987971 in words is "sixteen million, nine hundred eighty-seven thousand, nine hundred seventy-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 5657 16971 39599 62227 73541 118797 186681 220623 435589 514787 808951 1306767 1544361 2426853 5662657 16987971