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16130920 = 2351367463
BaseRepresentation
bin111101100010…
…001101101000
31010100112110111
4331202031220
513112142140
61333424104
7254052631
oct75421550
933315414
1016130920
119118443
12549b034
13345a330
1421dc888
1516397ea
hexf62368

16130920 has 64 divisors (see below), whose sum is σ = 39755520. Its totient is φ = 5854464.

The previous prime is 16130911. The next prime is 16130923. The reversal of 16130920 is 2903161.

16130920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16130891 and 16130900.

It is not an unprimeable number, because it can be changed into a prime (16130923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34609 + ... + 35071.

It is an arithmetic number, because the mean of its divisors is an integer number (621180).

Almost surely, 216130920 is an apocalyptic number.

16130920 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 16130920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19877760).

16130920 is an abundant number, since it is smaller than the sum of its proper divisors (23624600).

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

16130920 is a wasteful number, since it uses less digits than its factorization.

16130920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 16130920 is about 4016.3316596118. The cubic root of 16130920 is about 252.6696308119.

The spelling of 16130920 in words is "sixteen million, one hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 260 268 335 463 520 536 670 871 926 1340 1742 1852 2315 2680 3484 3704 4355 4630 6019 6968 8710 9260 12038 17420 18520 24076 30095 31021 34840 48152 60190 62042 120380 124084 155105 240760 248168 310210 403273 620420 806546 1240840 1613092 2016365 3226184 4032730 8065460 16130920