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20324100 = 22352371831
BaseRepresentation
bin100110110000…
…1111100000100
31102020120102110
41031201330010
520200332400
62003341020
7334515636
oct115417404
942216373
1020324100
1110521885
126981770
134297ac4
1429b0a56
151bb6e50
hex1361f04

20324100 has 72 divisors (see below), whose sum is σ = 60426688. Its totient is φ = 5270400.

The previous prime is 20324089. The next prime is 20324113. The reversal of 20324100 is 142302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10185 + ... + 12015.

Almost surely, 220324100 is an apocalyptic number.

20324100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30213344).

20324100 is an abundant number, since it is smaller than the sum of its proper divisors (40102588).

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

20324100 is a wasteful number, since it uses less digits than its factorization.

20324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20324100 is about 4508.2258151073. The cubic root of 20324100 is about 272.9001499888.

Adding to 20324100 its reverse (142302), we get a palindrome (20466402).

The spelling of 20324100 in words is "twenty million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1831 1850 2220 2775 3662 3700 5493 5550 7324 9155 10986 11100 18310 21972 27465 36620 45775 54930 67747 91550 109860 135494 137325 183100 203241 270988 274650 338735 406482 549300 677470 812964 1016205 1354940 1693675 2032410 3387350 4064820 5081025 6774700 10162050 20324100