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16001152 = 27413049
BaseRepresentation
bin111101000010…
…100010000000
31010002221110021
4331002202000
513044014102
61330543224
7253002406
oct75024200
933087407
1016001152
1190399a2
125437b14
13341324b
1421a7476
151611137
hexf42880

16001152 has 32 divisors (see below), whose sum is σ = 32665500. Its totient is φ = 7802880.

The previous prime is 16001143. The next prime is 16001159. The reversal of 16001152 is 25110061.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12222016 + 3779136 = 3496^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (16001159) 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, 3724 + ... + 6772.

Almost surely, 216001152 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 16001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16332750).

16001152 is an abundant number, since it is smaller than the sum of its proper divisors (16664348).

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

16001152 is an equidigital number, since it uses as much as digits as its factorization.

16001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 16001152 is about 4000.1439974081. The cubic root of 16001152 is about 251.9902574549.

The spelling of 16001152 in words is "sixteen million, one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 3049 5248 6098 12196 24392 48784 97568 125009 195136 250018 390272 500036 1000072 2000144 4000288 8000576 16001152