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11083020 = 22351321093
BaseRepresentation
bin101010010001…
…110100001100
3202212002001020
4222101310030
510314124040
61033314140
7163130004
oct52216414
922762036
1011083020
11628a923
123865950
1323b0800
141687004
15e8dcd0
hexa91d0c

11083020 has 72 divisors (see below), whose sum is σ = 33633936. Its totient is φ = 2725632.

The previous prime is 11083003. The next prime is 11083063. The reversal of 11083020 is 2038011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9594 + ... + 10686.

It is an arithmetic number, because the mean of its divisors is an integer number (467138).

Almost surely, 211083020 is an apocalyptic number.

11083020 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 11083020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816968).

11083020 is an abundant number, since it is smaller than the sum of its proper divisors (22550916).

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

11083020 is a wasteful number, since it uses less digits than its factorization.

11083020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11083020 is about 3329.1170000467. The cubic root of 11083020 is about 222.9561068403.

The spelling of 11083020 in words is "eleven million, eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1093 1690 2028 2186 2535 3279 3380 4372 5070 5465 6558 10140 10930 13116 14209 16395 21860 28418 32790 42627 56836 65580 71045 85254 142090 170508 184717 213135 284180 369434 426270 554151 738868 852540 923585 1108302 1847170 2216604 2770755 3694340 5541510 11083020