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4059132 = 22371123191
BaseRepresentation
bin1111011110111111111100
321122020002020
433132333330
52014343012
6223000140
746334130
oct17367774
97566066
104059132
112322760
121439050
13ac176c
147793c0
15552a8c
hex3deffc

4059132 has 96 divisors (see below), whose sum is σ = 12386304. Its totient is φ = 1003200.

The previous prime is 4059131. The next prime is 4059149. The reversal of 4059132 is 2319504.

4059132 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4059131) 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, 21157 + ... + 21347.

It is an arithmetic number, because the mean of its divisors is an integer number (129024).

Almost surely, 24059132 is an apocalyptic number.

4059132 is a gapful number since it is divisible by the number (42) 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 4059132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193152).

4059132 is an abundant number, since it is smaller than the sum of its proper divisors (8327172).

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

4059132 is a wasteful number, since it uses less digits than its factorization.

4059132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 4059132 is about 2014.7287658640. The cubic root of 4059132 is about 159.5185003583.

The spelling of 4059132 in words is "four million, fifty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 191 231 253 276 308 322 382 462 483 506 573 644 759 764 924 966 1012 1146 1337 1518 1771 1932 2101 2292 2674 3036 3542 4011 4202 4393 5313 5348 6303 7084 8022 8404 8786 10626 12606 13179 14707 16044 17572 21252 25212 26358 29414 30751 44121 48323 52716 58828 61502 88242 92253 96646 123004 144969 176484 184506 193292 289938 338261 369012 579876 676522 1014783 1353044 2029566 4059132