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20472100 = 22521137503
BaseRepresentation
bin100111000011…
…0000100100100
31102112002102221
41032012010210
520220101400
62010442124
7336003265
oct116060444
942462387
1020472100
1110612aa0
126a33344
13431a28c
142a0c96c
151be5c1a
hex1386124

20472100 has 72 divisors (see below), whose sum is σ = 49871808. Its totient is φ = 7228800.

The previous prime is 20472091. The next prime is 20472103. The reversal of 20472100 is 127402.

It is not an unprimeable number, because it can be changed into a prime (20472103) 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, 40449 + ... + 40951.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 220472100 is an apocalyptic number.

20472100 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 20472100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935904).

20472100 is an abundant number, since it is smaller than the sum of its proper divisors (29399708).

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

20472100 is a wasteful number, since it uses less digits than its factorization.

20472100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 20472100 is about 4524.6104804723. The cubic root of 20472100 is about 273.5609677513.

Adding to 20472100 its reverse (127402), we get a palindrome (20599502).

The spelling of 20472100 in words is "twenty million, four hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 503 550 740 814 925 1006 1100 1628 1850 2012 2035 2515 3700 4070 5030 5533 8140 10060 10175 11066 12575 18611 20350 22132 25150 27665 37222 40700 50300 55330 74444 93055 110660 138325 186110 204721 276650 372220 409442 465275 553300 818884 930550 1023605 1861100 2047210 4094420 5118025 10236050 20472100