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4135122 = 23219107113
BaseRepresentation
bin1111110001100011010010
321210002022200
433301203102
52024310442
6224344030
750101515
oct17614322
97702280
104135122
112374862
121475016
13b1a224
14798d7c
1556a34c
hex3f18d2

4135122 has 48 divisors (see below), whose sum is σ = 9603360. Its totient is φ = 1282176.

The previous prime is 4135093. The next prime is 4135123. The reversal of 4135122 is 2215314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4135095 and 4135104.

It is not an unprimeable number, because it can be changed into a prime (4135123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36538 + ... + 36650.

It is an arithmetic number, because the mean of its divisors is an integer number (200070).

Almost surely, 24135122 is an apocalyptic number.

It is a pronic number, being equal to 2033×2034.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801680).

4135122 is an abundant number, since it is smaller than the sum of its proper divisors (5468238).

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

4135122 is a wasteful number, since it uses less digits than its factorization.

4135122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 244 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 4135122 is about 2033.4999385296. The cubic root of 4135122 is about 160.5077877841.

The spelling of 4135122 in words is "four million, one hundred thirty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 107 113 114 171 214 226 321 339 342 642 678 963 1017 1926 2033 2034 2147 4066 4294 6099 6441 12091 12198 12882 18297 19323 24182 36273 36594 38646 72546 108819 217638 229729 459458 689187 1378374 2067561 4135122