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16216064 = 21237107
BaseRepresentation
bin111101110111…
…000000000000
31010111212020222
4331313000000
513122403224
61335322212
7254556104
oct75670000
933455228
1016216064
119176407
125520368
13348a007
142221904
151654b5e
hexf77000

16216064 has 52 divisors (see below), whose sum is σ = 33615864. Its totient is φ = 7815168.

The previous prime is 16216061. The next prime is 16216073. The reversal of 16216064 is 46061261.

It is a happy number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16216061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151499 + ... + 151605.

Almost surely, 216216064 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 16216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16807932).

16216064 is an abundant number, since it is smaller than the sum of its proper divisors (17399800).

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

16216064 is an equidigital number, since it uses as much as digits as its factorization.

16216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 16216064 is about 4026.9174314853. The cubic root of 16216064 is about 253.1134071610.

The spelling of 16216064 in words is "sixteen million, two hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 107 128 148 214 256 296 428 512 592 856 1024 1184 1712 2048 2368 3424 3959 4096 4736 6848 7918 9472 13696 15836 18944 27392 31672 37888 54784 63344 75776 109568 126688 151552 219136 253376 438272 506752 1013504 2027008 4054016 8108032 16216064