Search a number
-
+
16120480 = 255531901
BaseRepresentation
bin111101011111…
…101010100000
31010100000010211
4331133222200
513111323410
61333303504
7254010325
oct75375240
933300124
1016120480
119110612
125494b94
13345565c
1421d8b4c
15163668a
hexf5faa0

16120480 has 48 divisors (see below), whose sum is σ = 38823624. Its totient is φ = 6323200.

The previous prime is 16120477. The next prime is 16120487. The reversal of 16120480 is 8402161.

It can be written as a sum of positive squares in 4 ways, for example, as 11048976 + 5071504 = 3324^2 + 2252^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (16120487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7530 + ... + 9430.

Almost surely, 216120480 is an apocalyptic number.

16120480 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 16120480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19411812).

16120480 is an abundant number, since it is smaller than the sum of its proper divisors (22703144).

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

16120480 is a wasteful number, since it uses less digits than its factorization.

16120480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 16120480 is about 4015.0317557897. The cubic root of 16120480 is about 252.6151094283.

The spelling of 16120480 in words is "sixteen million, one hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 1901 2120 3802 4240 7604 8480 9505 15208 19010 30416 38020 60832 76040 100753 152080 201506 304160 403012 503765 806024 1007530 1612048 2015060 3224096 4030120 8060240 16120480