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16072264 = 231329732
BaseRepresentation
bin111101010011…
…111001001000
31010020120000001
4331103321020
513103303024
61332252344
7253416625
oct75237110
933216001
1016072264
11908836a
1254710b4
133439720
1421c534c
151627244
hexf53e48

16072264 has 48 divisors (see below), whose sum is σ = 34038900. Its totient is φ = 7064064.

The previous prime is 16072241. The next prime is 16072267. The reversal of 16072264 is 46227061.

It can be written as a sum of positive squares in 6 ways, for example, as 6200100 + 9872164 = 2490^2 + 3142^2 .

It is not an unprimeable number, because it can be changed into a prime (16072267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220132 + ... + 220204.

Almost surely, 216072264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16072264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17019450).

16072264 is an abundant number, since it is smaller than the sum of its proper divisors (17966636).

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

16072264 is a wasteful number, since it uses less digits than its factorization.

16072264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 16072264 is about 4009.0228235818. The cubic root of 16072264 is about 252.3630025060.

The spelling of 16072264 in words is "sixteen million, seventy-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 29 52 58 73 104 116 146 232 292 377 584 754 949 1508 1898 2117 3016 3796 4234 5329 7592 8468 10658 16936 21316 27521 42632 55042 69277 110084 138554 154541 220168 277108 309082 554216 618164 1236328 2009033 4018066 8036132 16072264