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16871120 = 245747641
BaseRepresentation
bin100000001011…
…0111011010000
31011202010211022
41000112323100
513304333440
61401335012
7263254640
oct100267320
934663738
1016871120
119583582
125797468
133659216
142352520
151733cb5
hex1016ed0

16871120 has 80 divisors (see below), whose sum is σ = 45854208. Its totient is φ = 5652480.

The previous prime is 16871111. The next prime is 16871137. The reversal of 16871120 is 2117861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 16871120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26000 + ... + 26640.

Almost surely, 216871120 is an apocalyptic number.

16871120 is a gapful number since it is divisible by the number (10) 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 16871120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22927104).

16871120 is an abundant number, since it is smaller than the sum of its proper divisors (28983088).

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

16871120 is a wasteful number, since it uses less digits than its factorization.

16871120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 16871120 is about 4107.4468955788. The cubic root of 16871120 is about 256.4767321045.

Adding to 16871120 its reverse (2117861), we get a palindrome (18988981).

The spelling of 16871120 in words is "sixteen million, eight hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 641 658 752 940 1282 1316 1645 1880 2564 2632 3205 3290 3760 4487 5128 5264 6410 6580 8974 10256 12820 13160 17948 22435 25640 26320 30127 35896 44870 51280 60254 71792 89740 120508 150635 179480 210889 241016 301270 358960 421778 482032 602540 843556 1054445 1205080 1687112 2108890 2410160 3374224 4217780 8435560 16871120