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20161024 = 29132233
BaseRepresentation
bin100110011101…
…0001000000000
31101221021201121
41030322020000
520130123044
62000042024
7333236332
oct114721000
941837647
1020161024
1110420304
126903314
13423b800
14296b452
151b83984
hex133a200

20161024 has 60 divisors (see below), whose sum is σ = 43806906. Its totient is φ = 9265152.

The previous prime is 20161021. The next prime is 20161027. The reversal of 20161024 is 42016102.

It is an interprime number because it is at equal distance from previous prime (20161021) and next prime (20161027).

It can be written as a sum of positive squares in 3 ways, for example, as 6969600 + 13191424 = 2640^2 + 3632^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20160989 and 20161007.

It is not an unprimeable number, because it can be changed into a prime (20161021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86412 + ... + 86644.

Almost surely, 220161024 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 20161024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21903453).

20161024 is an abundant number, since it is smaller than the sum of its proper divisors (23645882).

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

20161024 is an equidigital number, since it uses as much as digits as its factorization.

20161024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 20161024 is about 4490.1028941440. The cubic root of 20161024 is about 272.1682926225.

Adding to 20161024 its reverse (42016102), we get a palindrome (62177126).

The spelling of 20161024 in words is "twenty million, one hundred sixty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 233 256 338 416 466 512 676 832 932 1352 1664 1864 2704 3029 3328 3728 5408 6058 6656 7456 10816 12116 14912 21632 24232 29824 39377 43264 48464 59648 78754 86528 96928 119296 157508 193856 315016 387712 630032 775424 1260064 1550848 2520128 5040256 10080512 20161024