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16187130 = 2325374861
BaseRepresentation
bin111101101111…
…111011111010
31010110101120100
4331233323322
513120442010
61334540230
7254405541
oct75577372
933411510
1016187130
1191566a3
125507676
133479aab
142215158
15164b2c0
hexf6fefa

16187130 has 48 divisors (see below), whose sum is σ = 43232904. Its totient is φ = 4199040.

The previous prime is 16187123. The next prime is 16187131. The reversal of 16187130 is 3178161.

It can be written as a sum of positive squares in 4 ways, for example, as 16184529 + 2601 = 4023^2 + 51^2 .

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 16187094 and 16187103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16187131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900 + ... + 5760.

Almost surely, 216187130 is an apocalyptic number.

16187130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16187130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21616452).

16187130 is an abundant number, since it is smaller than the sum of its proper divisors (27045774).

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

16187130 is a wasteful number, since it uses less digits than its factorization.

16187130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 16187130 is about 4023.3232532323. The cubic root of 16187130 is about 252.9627757990.

The spelling of 16187130 in words is "sixteen million, one hundred eighty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 4861 9722 14583 24305 29166 43749 48610 72915 87498 145830 179857 218745 359714 437490 539571 899285 1079142 1618713 1798570 2697855 3237426 5395710 8093565 16187130