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16083080 = 23513157197
BaseRepresentation
bin111101010110…
…100010001000
31010021002211122
4331112202020
513104124310
61332414412
7253463306
oct75264210
933232748
1016083080
119095502
125477408
133441620
1421c9276
15162a555
hexf56888

16083080 has 64 divisors (see below), whose sum is σ = 39417840. Its totient is φ = 5870592.

The previous prime is 16083061. The next prime is 16083083. The reversal of 16083080 is 8038061.

It can be written as a sum of positive squares in 8 ways, for example, as 7214596 + 8868484 = 2686^2 + 2978^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16083083) 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 15 ways as a sum of consecutive naturals, for example, 81542 + ... + 81738.

Almost surely, 216083080 is an apocalyptic number.

16083080 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 16083080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19708920).

16083080 is an abundant number, since it is smaller than the sum of its proper divisors (23334760).

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

16083080 is a wasteful number, since it uses less digits than its factorization.

16083080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 16083080 is about 4010.3715538588. The cubic root of 16083080 is about 252.4195999289.

The spelling of 16083080 in words is "sixteen million, eighty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 157 197 260 314 394 520 628 785 788 985 1256 1570 1576 1970 2041 2561 3140 3940 4082 5122 6280 7880 8164 10205 10244 12805 16328 20410 20488 25610 30929 40820 51220 61858 81640 102440 123716 154645 247432 309290 402077 618580 804154 1237160 1608308 2010385 3216616 4020770 8041540 16083080