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20450100 = 22352116197
BaseRepresentation
bin100111000000…
…0101100110100
31102110222021010
41032000230310
520213400400
62010152220
7335552166
oct116005464
942428233
1020450100
11105a8510
126a22670
134310268
142a04936
151bde450
hex1380b34

20450100 has 72 divisors (see below), whose sum is σ = 64558368. Its totient is φ = 4956800.

The previous prime is 20450083. The next prime is 20450107. The reversal of 20450100 is 105402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20450107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202 + ... + 6398.

It is an arithmetic number, because the mean of its divisors is an integer number (896644).

Almost surely, 220450100 is an apocalyptic number.

20450100 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 20450100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32279184).

20450100 is an abundant number, since it is smaller than the sum of its proper divisors (44108268).

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

20450100 is a wasteful number, since it uses less digits than its factorization.

20450100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 20450100 is about 4522.1786784690. The cubic root of 20450100 is about 273.4629400548.

Adding to 20450100 its reverse (105402), we get a palindrome (20555502).

The spelling of 20450100 in words is "twenty million, four hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6197 12394 18591 24788 30985 37182 61970 68167 74364 92955 123940 136334 154925 185910 204501 272668 309850 340835 371820 409002 464775 619700 681670 818004 929550 1022505 1363340 1704175 1859100 2045010 3408350 4090020 5112525 6816700 10225050 20450100