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11428020 = 2233521163
BaseRepresentation
bin101011100110…
…000010110100
3210111121022000
4223212002310
510411144040
61044535300
7166064562
oct53460264
923447260
1011428020
1164a604a
1239b1530
1324a1856
141736a32
15100b130
hexae60b4

11428020 has 48 divisors (see below), whose sum is σ = 35555520. Its totient is φ = 3047328.

The previous prime is 11428009. The next prime is 11428037. The reversal of 11428020 is 2082411.

It is a super-2 number, since 2×114280202 = 261199282240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11427984 and 11428002.

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 15 ways as a sum of consecutive naturals, for example, 10042 + ... + 11121.

It is an arithmetic number, because the mean of its divisors is an integer number (740740).

Almost surely, 211428020 is an apocalyptic number.

11428020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11428020 is an abundant number, since it is smaller than the sum of its proper divisors (24127500).

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

11428020 is a wasteful number, since it uses less digits than its factorization.

11428020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21181 (or 21173 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11428020 is about 3380.5354605447. The cubic root of 11428020 is about 225.2459532664.

The spelling of 11428020 in words is "eleven million, four hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 21163 42326 63489 84652 105815 126978 190467 211630 253956 317445 380934 423260 571401 634890 761868 952335 1142802 1269780 1904670 2285604 2857005 3809340 5714010 11428020