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4135068 = 2232761269
BaseRepresentation
bin1111110001100010011100
321210002020200
433301202130
52024310233
6224343500
750101410
oct17614234
97702220
104135068
112374813
121474b90
13b1a1b2
14798d40
1556a313
hex3f189c

4135068 has 72 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1157760.

The previous prime is 4135057. The next prime is 4135069. The reversal of 4135068 is 8605314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135069) 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, 15238 + ... + 15506.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 24135068 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 4135068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

4135068 is an abundant number, since it is smaller than the sum of its proper divisors (8051652).

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

4135068 is a wasteful number, since it uses less digits than its factorization.

4135068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4135068 is about 2033.4866608857. The cubic root of 4135068 is about 160.5070890979.

The spelling of 4135068 in words is "four million, one hundred thirty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 269 366 427 538 549 732 807 854 1076 1098 1281 1614 1708 1883 2196 2421 2562 3228 3766 3843 4842 5124 5649 7532 7686 9684 11298 15372 16409 16947 22596 32818 33894 49227 65636 67788 98454 114863 147681 196908 229726 295362 344589 459452 590724 689178 1033767 1378356 2067534 4135068