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11029320 = 2332530637
BaseRepresentation
bin101010000100…
…101101001000
3202202100101100
4222010231020
510310414240
61032221400
7162514311
oct52045510
922670340
1011029320
116253545
12383a860
132392233
141671608
15e7ce30
hexa84b48

11029320 has 48 divisors (see below), whose sum is σ = 35846460. Its totient is φ = 2941056.

The previous prime is 11029313. The next prime is 11029321. The reversal of 11029320 is 2392011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10536516 + 492804 = 3246^2 + 702^2 .

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 = 11029293 and 11029302.

It is not an unprimeable number, because it can be changed into a prime (11029321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14959 + ... + 15678.

Almost surely, 211029320 is an apocalyptic number.

11029320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11029320 is an abundant number, since it is smaller than the sum of its proper divisors (24817140).

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

11029320 is a wasteful number, since it uses less digits than its factorization.

11029320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30654 (or 30647 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11029320 is about 3321.0420051544. The cubic root of 11029320 is about 222.5954310157.

The spelling of 11029320 in words is "eleven million, twenty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 30637 61274 91911 122548 153185 183822 245096 275733 306370 367644 459555 551466 612740 735288 919110 1102932 1225480 1378665 1838220 2205864 2757330 3676440 5514660 11029320