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16272040 = 235232769
BaseRepresentation
bin111110000100…
…101010101000
31010121201001011
4332010222220
513131201130
61340433304
7255211231
oct76045250
933551034
1016272040
119204474
125548834
1334a9635
142238088
15166652a
hexf84aa8

16272040 has 48 divisors (see below), whose sum is σ = 38322900. Its totient is φ = 6217728.

The previous prime is 16272029. The next prime is 16272049. The reversal of 16272040 is 4027261.

It can be written as a sum of positive squares in 2 ways, for example, as 16016004 + 256036 = 4002^2 + 506^2 .

It is not an unprimeable number, because it can be changed into a prime (16272049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20776 + ... + 21544.

Almost surely, 216272040 is an apocalyptic number.

16272040 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 16272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19161450).

16272040 is an abundant number, since it is smaller than the sum of its proper divisors (22050860).

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

16272040 is a wasteful number, since it uses less digits than its factorization.

16272040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 16272040 is about 4033.8616733845. The cubic root of 16272040 is about 253.4043122135.

The spelling of 16272040 in words is "sixteen million, two hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 769 920 1058 1538 2116 2645 3076 3845 4232 5290 6152 7690 10580 15380 17687 21160 30760 35374 70748 88435 141496 176870 353740 406801 707480 813602 1627204 2034005 3254408 4068010 8136020 16272040