Search a number
-
+
4075136 = 27133179
BaseRepresentation
bin1111100010111010000000
321200001000222
433202322000
52020401021
6223202212
746431602
oct17427200
97601028
104075136
11233378a
121446368
13ac8b30
14781172
155576ab
hex3e2e80

4075136 has 64 divisors (see below), whose sum is σ = 9139200. Its totient is φ = 1797120.

The previous prime is 4075133. The next prime is 4075147. The reversal of 4075136 is 6315704.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51545 + ... + 51623.

It is an arithmetic number, because the mean of its divisors is an integer number (142800).

Almost surely, 24075136 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 4075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569600).

4075136 is an abundant number, since it is smaller than the sum of its proper divisors (5064064).

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

4075136 is a wasteful number, since it uses less digits than its factorization.

4075136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 4075136 is about 2018.6966092011. The cubic root of 4075136 is about 159.7278707562.

The spelling of 4075136 in words is "four million, seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 79 104 124 128 158 208 248 316 403 416 496 632 806 832 992 1027 1264 1612 1664 1984 2054 2449 2528 3224 3968 4108 4898 5056 6448 8216 9796 10112 12896 16432 19592 25792 31837 32864 39184 51584 63674 65728 78368 127348 131456 156736 254696 313472 509392 1018784 2037568 4075136