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4106032 = 24761601
BaseRepresentation
bin1111101010011100110000
321201121102021
433222130300
52022343112
6224001224
746620640
oct17523460
97647367
104106032
112354a17
121460214
13b09c08
1478c520
15561907
hex3ea730

4106032 has 40 divisors (see below), whose sum is σ = 9256352. Its totient is φ = 1728000.

The previous prime is 4106017. The next prime is 4106041. The reversal of 4106032 is 2306014.

4106032 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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

4106032 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 4105997 and 4106015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6532 + ... + 7132.

Almost surely, 24106032 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 4106032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628176).

4106032 is an abundant number, since it is smaller than the sum of its proper divisors (5150320).

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

4106032 is a wasteful number, since it uses less digits than its factorization.

4106032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4106032 is about 2026.3346219221. The cubic root of 4106032 is about 160.1305185018.

The spelling of 4106032 in words is "four million, one hundred six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 601 854 976 1202 1708 2404 3416 4207 4808 6832 8414 9616 16828 33656 36661 67312 73322 146644 256627 293288 513254 586576 1026508 2053016 4106032