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11021920 = 255713757
BaseRepresentation
bin101010000010…
…111001100000
3202201222020021
4222002321200
510310200140
61032123224
7162453610
oct52027140
922658207
1011021920
116248a28
123836514
13238ba60
14166ca40
15e7ab4a
hexa82e60

11021920 has 96 divisors (see below), whose sum is σ = 32090688. Its totient is φ = 3483648.

The previous prime is 11021917. The next prime is 11021929. The reversal of 11021920 is 2912011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11021894 and 11021903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14182 + ... + 14938.

It is an arithmetic number, because the mean of its divisors is an integer number (334278).

Almost surely, 211021920 is an apocalyptic number.

11021920 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 11021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045344).

11021920 is an abundant number, since it is smaller than the sum of its proper divisors (21068768).

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

11021920 is a wasteful number, since it uses less digits than its factorization.

11021920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 11021920 is about 3319.9277100564. The cubic root of 11021920 is about 222.5456372321.

Adding to 11021920 its reverse (2912011), we get a palindrome (13933931).

The spelling of 11021920 in words is "eleven million, twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 757 910 1040 1120 1456 1514 1820 2080 2912 3028 3640 3785 5299 6056 7280 7570 9841 10598 12112 14560 15140 19682 21196 24224 26495 30280 39364 42392 49205 52990 60560 68887 78728 84784 98410 105980 121120 137774 157456 169568 196820 211960 275548 314912 344435 393640 423920 551096 688870 787280 847840 1102192 1377740 1574560 2204384 2755480 5510960 11021920