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8023136 = 251123991
BaseRepresentation
bin11110100110110001100000
3120002121200012
4132212301200
54023220021
6443544052
7125124032
oct36466140
916077605
108023136
11458a9a0
12282b028
13187bb24
1410cbc52
15a8735b
hex7a6c60

8023136 has 48 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 3484800.

The previous prime is 8023123. The next prime is 8023139. The reversal of 8023136 is 6313208.

It is a super-2 number, since 2×80231362 = 128741422548992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8023139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7601 + ... + 8591.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 28023136 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 8023136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

8023136 is an abundant number, since it is smaller than the sum of its proper divisors (9975712).

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

8023136 is a wasteful number, since it uses less digits than its factorization.

8023136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 8023136 is about 2832.5140776349. The cubic root of 8023136 is about 200.1926144388.

The spelling of 8023136 in words is "eight million, twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 991 1012 1982 2024 3964 4048 7928 8096 10901 15856 21802 22793 31712 43604 45586 87208 91172 174416 182344 250723 348832 364688 501446 729376 1002892 2005784 4011568 8023136