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20000024 = 23111729461
BaseRepresentation
bin100110001001…
…0110100011000
31101122002212122
41030102310120
520110000044
61552400412
7331666052
oct114226430
941562778
1020000024
1110320350
126846108
1341b3445
1429288d2
151b50dee
hex1312d18

20000024 has 64 divisors (see below), whose sum is σ = 44906400. Its totient is φ = 8243200.

The previous prime is 20000023. The next prime is 20000033. The reversal of 20000024 is 42000002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 19999966 and 20000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43154 + ... + 43614.

Almost surely, 220000024 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 20000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22453200).

20000024 is an abundant number, since it is smaller than the sum of its proper divisors (24906376).

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

20000024 is a wasteful number, since it uses less digits than its factorization.

20000024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 20000024 is about 4472.1386382803. The cubic root of 20000024 is about 271.4418702362.

Adding to 20000024 its reverse (42000002), we get a palindrome (62000026).

It can be divided in two parts, 2000002 and 4, that multiplied together give a palindrome (8000008).

The spelling of 20000024 in words is "twenty million, twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 187 232 319 374 461 493 638 748 922 986 1276 1496 1844 1972 2552 3688 3944 5071 5423 7837 10142 10846 13369 15674 20284 21692 26738 31348 40568 43384 53476 62696 86207 106952 147059 172414 227273 294118 344828 454546 588236 689656 909092 1176472 1818184 2500003 5000006 10000012 20000024