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4138134 = 2371113253
BaseRepresentation
bin1111110010010010010110
321210020110020
433302102112
52024410014
6224410010
750113350
oct17622226
97706406
104138134
112377050
121476906
13b1b700
1479a0d0
1556b1a9
hex3f2496

4138134 has 96 divisors (see below), whose sum is σ = 11384064. Its totient is φ = 973440.

The previous prime is 4138129. The next prime is 4138139. The reversal of 4138134 is 4318314.

It is an interprime number because it is at equal distance from previous prime (4138129) and next prime (4138139).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78052 + ... + 78104.

It is an arithmetic number, because the mean of its divisors is an integer number (118584).

Almost surely, 24138134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692032).

4138134 is an abundant number, since it is smaller than the sum of its proper divisors (7245930).

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

4138134 is a wasteful number, since it uses less digits than its factorization.

4138134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 4138134 is about 2034.2403987730. The cubic root of 4138134 is about 160.5467493209.

The spelling of 4138134 in words is "four million, one hundred thirty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 53 66 77 78 91 106 143 154 159 169 182 231 273 286 318 338 371 429 462 507 546 583 689 742 858 1001 1014 1113 1166 1183 1378 1749 1859 2002 2067 2226 2366 3003 3498 3549 3718 4081 4134 4823 5577 6006 7098 7579 8162 8957 9646 11154 12243 13013 14469 15158 17914 22737 24486 26026 26871 28938 39039 45474 53053 53742 62699 78078 98527 106106 125398 159159 188097 197054 295581 318318 376194 591162 689689 1379378 2069067 4138134