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20053100 = 2252416773
BaseRepresentation
bin100110001111…
…1110001101100
31101201210200102
41030133301230
520113144400
61553450232
7332306564
oct114376154
941653612
1020053100
1110357211
126870978
134201652
14293dda4
151b619d5
hex131fc6c

20053100 has 72 divisors (see below), whose sum is σ = 45861648. Its totient is φ = 7603200.

The previous prime is 20053091. The next prime is 20053109. The reversal of 20053100 is 135002.

It is an interprime number because it is at equal distance from previous prime (20053091) and next prime (20053109).

It is a super-2 number, since 2×200531002 = 804253639220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20053109) 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, 274664 + ... + 274736.

Almost surely, 220053100 is an apocalyptic number.

20053100 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 20053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22930824).

20053100 is an abundant number, since it is smaller than the sum of its proper divisors (25808548).

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

20053100 is a wasteful number, since it uses less digits than its factorization.

20053100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 20053100 is about 4478.0687801775. The cubic root of 20053100 is about 271.6817753316.

Adding to 20053100 its reverse (135002), we get a palindrome (20188102).

The spelling of 20053100 in words is "twenty million, fifty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 67 73 82 100 134 146 164 205 268 292 335 365 410 670 730 820 1025 1340 1460 1675 1825 2050 2747 2993 3350 3650 4100 4891 5494 5986 6700 7300 9782 10988 11972 13735 14965 19564 24455 27470 29930 48910 54940 59860 68675 74825 97820 122275 137350 149650 200531 244550 274700 299300 401062 489100 802124 1002655 2005310 4010620 5013275 10026550 20053100