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16136064 = 273372329
BaseRepresentation
bin111101100011…
…011110000000
31010100210112000
4331203132000
513112323224
61333504000
7254103630
oct75433600
933323460
1016136064
11912129a
1254a2000
13345c789
1422006c0
15163b0c9
hexf63780

16136064 has 256 divisors, whose sum is σ = 58752000. Its totient is φ = 4257792.

The previous prime is 16136059. The next prime is 16136069. The reversal of 16136064 is 46063161.

16136064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16136059) and next prime (16136069).

It is a super-2 number, since 2×161360642 = 520745122824192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16136069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556402 + ... + 556430.

It is an arithmetic number, because the mean of its divisors is an integer number (229500).

Almost surely, 216136064 is an apocalyptic number.

16136064 is a gapful number since it is divisible by the number (14) 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 16136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29376000).

16136064 is an abundant number, since it is smaller than the sum of its proper divisors (42615936).

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

16136064 is a wasteful number, since it uses less digits than its factorization.

16136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 16136064 is about 4016.9719939278. The cubic root of 16136064 is about 252.6964859540.

The spelling of 16136064 in words is "sixteen million, one hundred thirty-six thousand, sixty-four".