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11200020 = 22351383173
BaseRepresentation
bin101010101110…
…011000010100
3210002000112120
4222232120110
510331400040
61040015540
7164125056
oct52563024
923060476
1011200020
11635a817
1239015b0
132421b40
1416b78d6
15eb37d0
hexaae614

11200020 has 96 divisors (see below), whose sum is σ = 34376832. Its totient is φ = 2707968.

The previous prime is 11200019. The next prime is 11200031. The reversal of 11200020 is 2000211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 11199981 and 11200008.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 64654 + ... + 64826.

It is an arithmetic number, because the mean of its divisors is an integer number (358092).

Almost surely, 211200020 is an apocalyptic number.

11200020 is a gapful number since it is divisible by the number (10) 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 11200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17188416).

11200020 is an abundant number, since it is smaller than the sum of its proper divisors (23176812).

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

11200020 is a wasteful number, since it uses less digits than its factorization.

11200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 11200020 is about 3346.6430942065. The cubic root of 11200020 is about 223.7379215935.

Adding to 11200020 its reverse (2000211), we get a palindrome (13200231).

It can be divided in two parts, 1 and 1200020, that added together give a palindrome (1200021).

The spelling of 11200020 in words is "eleven million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 83 130 156 166 173 195 249 260 332 346 390 415 498 519 692 780 830 865 996 1038 1079 1245 1660 1730 2076 2158 2249 2490 2595 3237 3460 4316 4498 4980 5190 5395 6474 6747 8996 10380 10790 11245 12948 13494 14359 16185 21580 22490 26988 28718 32370 33735 43077 44980 57436 64740 67470 71795 86154 134940 143590 172308 186667 215385 287180 373334 430770 560001 746668 861540 933335 1120002 1866670 2240004 2800005 3733340 5600010 11200020