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11930120 = 2351012953
BaseRepresentation
bin101101100000…
…101000001000
3211110010001022
4231200220020
511023230440
61103412012
7203255456
oct55405010
924403038
1011930120
116809304
123bb4008
132619257
1418279d6
1510a9cb5
hexb60a08

11930120 has 32 divisors (see below), whose sum is σ = 27117720. Its totient is φ = 4723200.

The previous prime is 11930111. The next prime is 11930129. The reversal of 11930120 is 2103911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11930111) and next prime (11930129).

It can be written as a sum of positive squares in 4 ways, for example, as 11930116 + 4 = 3454^2 + 2^2 .

It is not an unprimeable number, because it can be changed into a prime (11930129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2564 + ... + 5516.

Almost surely, 211930120 is an apocalyptic number.

11930120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11930120 is an abundant number, since it is smaller than the sum of its proper divisors (15187600).

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

11930120 is a wasteful number, since it uses less digits than its factorization.

11930120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 11930120 is about 3454.0005790387. Note that the first 3 decimals coincide. The cubic root of 11930120 is about 228.4975795654.

It can be divided in two parts, 119301 and 20, that multiplied together give a triangular number (2386020 = T2184).

The spelling of 11930120 in words is "eleven million, nine hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 2953 4040 5906 11812 14765 23624 29530 59060 118120 298253 596506 1193012 1491265 2386024 2982530 5965060 11930120