Search a number
-
+
16312712 = 23131011553
BaseRepresentation
bin111110001110…
…100110001000
31010200202211112
4332032212020
513134001322
61341345452
7255440633
oct76164610
933622745
1016312712
119231a89
125568288
1334c1cc0
142248c1a
1516735e2
hexf8e988

16312712 has 32 divisors (see below), whose sum is σ = 33286680. Its totient is φ = 7449600.

The previous prime is 16312693. The next prime is 16312717. The reversal of 16312712 is 21721361.

16312712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12208036 + 4104676 = 3494^2 + 2026^2 .

It is a super-2 number, since 2×163127122 = 532209145589888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16312717) 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, 9728 + ... + 11280.

Almost surely, 216312712 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 16312712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643340).

16312712 is an abundant number, since it is smaller than the sum of its proper divisors (16973968).

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

16312712 is a wasteful number, since it uses less digits than its factorization.

16312712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1669 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 16312712 is about 4038.8998502067. The cubic root of 16312712 is about 253.6152647653.

The spelling of 16312712 in words is "sixteen million, three hundred twelve thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 1553 2626 3106 5252 6212 10504 12424 20189 40378 80756 156853 161512 313706 627412 1254824 2039089 4078178 8156356 16312712