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16023072 = 2531337347
BaseRepresentation
bin111101000111…
…111000100000
31010011001112010
4331013320200
513100214242
61331232520
7253123332
oct75077040
933131463
1016023072
11905440a
125448740
133420210
1421b1452
15161789c
hexf47e20

16023072 has 96 divisors (see below), whose sum is σ = 46654272. Its totient is φ = 4783104.

The previous prime is 16023037. The next prime is 16023079. The reversal of 16023072 is 27032061.

It is a happy number.

16023072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16023079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46003 + ... + 46349.

It is an arithmetic number, because the mean of its divisors is an integer number (485982).

Almost surely, 216023072 is an apocalyptic number.

16023072 is a gapful number since it is divisible by the number (12) 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 16023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23327136).

16023072 is an abundant number, since it is smaller than the sum of its proper divisors (30631200).

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

16023072 is a wasteful number, since it uses less digits than its factorization.

16023072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 16023072 is about 4002.8829610669. The cubic root of 16023072 is about 252.1052722173.

It can be divided in two parts, 160 and 23072, that added together give a palindrome (23232).

The spelling of 16023072 in words is "sixteen million, twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 208 222 296 312 347 416 444 481 592 624 694 888 962 1041 1184 1248 1388 1443 1776 1924 2082 2776 2886 3552 3848 4164 4511 5552 5772 7696 8328 9022 11104 11544 12839 13533 15392 16656 18044 23088 25678 27066 33312 36088 38517 46176 51356 54132 72176 77034 102712 108264 144352 154068 166907 205424 216528 308136 333814 410848 433056 500721 616272 667628 1001442 1232544 1335256 2002884 2670512 4005768 5341024 8011536 16023072