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16130080 = 255731381
BaseRepresentation
bin111101100010…
…000000100000
31010100111022101
4331202000200
513112130310
61333420144
7254050321
oct75420040
933314271
1016130080
11911784a
12549a654
133459b35
1421dc448
15163943a
hexf62020

16130080 has 48 divisors (see below), whose sum is σ = 38657304. Its totient is φ = 6359040.

The previous prime is 16130077. The next prime is 16130083. The reversal of 16130080 is 8003161.

It is an interprime number because it is at equal distance from previous prime (16130077) and next prime (16130083).

It can be written as a sum of positive squares in 4 ways, for example, as 13046544 + 3083536 = 3612^2 + 1756^2 .

It is not an unprimeable number, because it can be changed into a prime (16130083) 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, 10990 + ... + 12370.

Almost surely, 216130080 is an apocalyptic number.

16130080 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 16130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19328652).

16130080 is an abundant number, since it is smaller than the sum of its proper divisors (22527224).

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

16130080 is a wasteful number, since it uses less digits than its factorization.

16130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 16130080 is about 4016.2270852132. The cubic root of 16130080 is about 252.6652449043.

The spelling of 16130080 in words is "sixteen million, one hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1381 1460 2336 2762 2920 5524 5840 6905 11048 11680 13810 22096 27620 44192 55240 100813 110480 201626 220960 403252 504065 806504 1008130 1613008 2016260 3226016 4032520 8065040 16130080