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16072992 = 25361353
BaseRepresentation
bin111101010100…
…000100100000
31010020121000000
4331110010200
513103313432
61332300000
7253422015
oct75240440
933217000
1016072992
119088971
125471600
133439b60
1421c570c
15162757c
hexf54120

16072992 has 168 divisors, whose sum is σ = 52057404. Its totient is φ = 4852224.

The previous prime is 16072961. The next prime is 16072999. The reversal of 16072992 is 29927061.

It can be written as a sum of positive squares in 2 ways, for example, as 15968016 + 104976 = 3996^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16072999) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 303238 + ... + 303290.

Almost surely, 216072992 is an apocalyptic number.

16072992 is a gapful number since it is divisible by the number (12) 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 16072992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26028702).

16072992 is an abundant number, since it is smaller than the sum of its proper divisors (35984412).

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

16072992 is an equidigital number, since it uses as much as digits as its factorization.

16072992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 16072992 is about 4009.1136177464. The cubic root of 16072992 is about 252.3668127448.

The spelling of 16072992 in words is "sixteen million, seventy-two thousand, nine hundred ninety-two".