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20000628 = 22331091699
BaseRepresentation
bin100110001001…
…0111101110100
31101122010201000
41030102331310
520110010003
61552403300
7332000604
oct114227564
941563630
1020000628
111032084a
126846530
1341b37bb
142928c04
151b511a3
hex1312f74

20000628 has 48 divisors (see below), whose sum is σ = 52360000. Its totient is φ = 6601824.

The previous prime is 20000623. The next prime is 20000641. The reversal of 20000628 is 82600002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20000628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10923 + ... + 12621.

Almost surely, 220000628 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 20000628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26180000).

20000628 is an abundant number, since it is smaller than the sum of its proper divisors (32359372).

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

20000628 is a wasteful number, since it uses less digits than its factorization.

20000628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20000628 is about 4472.2061669829. The cubic root of 20000628 is about 271.4446027202. Note that the first 3 decimals are identical.

The spelling of 20000628 in words is "twenty million, six hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1699 1962 2943 3398 3924 5097 5886 6796 10194 11772 15291 20388 30582 45873 61164 91746 183492 185191 370382 555573 740764 1111146 1666719 2222292 3333438 5000157 6666876 10000314 20000628