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16881696 = 253513167
BaseRepresentation
bin100000001100…
…1100000100000
31011202200100000
41000121200200
513310203241
61401500000
7263330526
oct100314040
934680300
1016881696
119590517
1257a1600
133660c90
142356316
151736eb6
hex1019820

16881696 has 144 divisors (see below), whose sum is σ = 53936064. Its totient is φ = 5163264.

The previous prime is 16881691. The next prime is 16881713. The reversal of 16881696 is 69618861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (16881691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101005 + ... + 101171.

It is an arithmetic number, because the mean of its divisors is an integer number (374556).

Almost surely, 216881696 is an apocalyptic number.

16881696 is a gapful number since it is divisible by the number (16) 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 16881696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26968032).

16881696 is an abundant number, since it is smaller than the sum of its proper divisors (37054368).

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

16881696 is a wasteful number, since it uses less digits than its factorization.

16881696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 16881696 is about 4108.7341116212. The cubic root of 16881696 is about 256.5303134380.

The spelling of 16881696 in words is "sixteen million, eight hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 167 208 216 234 243 288 312 324 334 351 416 432 468 486 501 624 648 668 702 864 936 972 1002 1053 1248 1296 1336 1404 1503 1872 1944 2004 2106 2171 2592 2672 2808 3006 3159 3744 3888 4008 4212 4342 4509 5344 5616 6012 6318 6513 7776 8016 8424 8684 9018 11232 12024 12636 13026 13527 16032 16848 17368 18036 19539 24048 25272 26052 27054 33696 34736 36072 39078 40581 48096 50544 52104 54108 58617 69472 72144 78156 81162 101088 104208 108216 117234 144288 156312 162324 175851 208416 216432 234468 312624 324648 351702 432864 468936 527553 625248 649296 703404 937872 1055106 1298592 1406808 1875744 2110212 2813616 4220424 5627232 8440848 16881696