Search a number
-
+
16125680 = 245191032
BaseRepresentation
bin111101100000…
…111011110000
31010100021021102
4331200323300
513112010210
61333343532
7254031434
oct75407360
933307242
1016125680
11911450a
125497ba8
133457b2c
1421da9c4
151637ea5
hexf60ef0

16125680 has 60 divisors (see below), whose sum is σ = 39852360. Its totient is φ = 6051456.

The previous prime is 16125671. The next prime is 16125689. The reversal of 16125680 is 8652161.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16125671) and next prime (16125689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16125689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156509 + ... + 156611.

It is an arithmetic number, because the mean of its divisors is an integer number (664206).

Almost surely, 216125680 is an apocalyptic number.

16125680 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 16125680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926180).

16125680 is an abundant number, since it is smaller than the sum of its proper divisors (23726680).

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

16125680 is a wasteful number, since it uses less digits than its factorization.

16125680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 16125680 is about 4015.6792700613. The cubic root of 16125680 is about 252.6422686144.

The spelling of 16125680 in words is "sixteen million, one hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 103 152 190 206 304 380 412 515 760 824 1030 1520 1648 1957 2060 3914 4120 7828 8240 9785 10609 15656 19570 21218 31312 39140 42436 53045 78280 84872 106090 156560 169744 201571 212180 403142 424360 806284 848720 1007855 1612568 2015710 3225136 4031420 8062840 16125680