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20010900 = 22352713733
BaseRepresentation
bin100110001010…
…1011110010100
31101122122210110
41030111132110
520110322100
61552523020
7332042550
oct114253624
941578713
1020010900
1110328538
126850470
1341b8390
14292c860
151b54250
hex1315794

20010900 has 144 divisors (see below), whose sum is σ = 71356544. Its totient is φ = 4216320.

The previous prime is 20010889. The next prime is 20010917. The reversal of 20010900 is 901002.

It is a happy number.

It is a super-2 number, since 2×200109002 = 800872237620000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26934 + ... + 27666.

Almost surely, 220010900 is an apocalyptic number.

20010900 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 20010900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35678272).

20010900 is an abundant number, since it is smaller than the sum of its proper divisors (51345644).

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

20010900 is a wasteful number, since it uses less digits than its factorization.

20010900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 20010900 is about 4473.3544460505. The cubic root of 20010900 is about 271.4910646239.

Adding to 20010900 its reverse (901002), we get a palindrome (20911902).

It can be divided in two parts, 20010 and 900, that added together give a triangular number (20910 = T204).

The spelling of 20010900 in words is "twenty million, ten thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 733 780 910 975 1050 1092 1300 1365 1466 1820 1950 2100 2199 2275 2730 2932 3665 3900 4398 4550 5131 5460 6825 7330 8796 9100 9529 10262 10995 13650 14660 15393 18325 19058 20524 21990 25655 27300 28587 30786 36650 38116 43980 47645 51310 54975 57174 61572 66703 73300 76965 95290 102620 109950 114348 128275 133406 142935 153930 190580 200109 219900 238225 256550 266812 285870 307860 333515 384825 400218 476450 513100 571740 667030 714675 769650 800436 952900 1000545 1334060 1429350 1539300 1667575 2001090 2858700 3335150 4002180 5002725 6670300 10005450 20010900