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12001608 = 233418521
BaseRepresentation
bin101101110010…
…000101001000
3211120202010000
4231302011020
511033022413
61105123000
7204004053
oct55620510
924522100
1012001608
116857a93
124029460
132642958
141845a9a
1510c1073
hexb72148

12001608 has 40 divisors (see below), whose sum is σ = 33617430. Its totient is φ = 4000320.

The previous prime is 12001571. The next prime is 12001667. The reversal of 12001608 is 80610021.

It can be written as a sum of positive squares in only one way, i.e., 6441444 + 5560164 = 2538^2 + 2358^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8613 + ... + 9908.

Almost surely, 212001608 is an apocalyptic number.

12001608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12001608 is an abundant number, since it is smaller than the sum of its proper divisors (21615822).

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

12001608 is a wasteful number, since it uses less digits than its factorization.

12001608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18539 (or 18526 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12001608 is about 3464.3337021713. Note that the first 3 decimals coincide. The cubic root of 12001608 is about 228.9530741678.

Adding to 12001608 its reverse (80610021), we get a palindrome (92611629).

The spelling of 12001608 in words is "twelve million, one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 18521 37042 55563 74084 111126 148168 166689 222252 333378 444504 500067 666756 1000134 1333512 1500201 2000268 3000402 4000536 6000804 12001608