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11372985 = 3251319441
BaseRepresentation
bin101011011000…
…100110111001
3210101210210200
4223120212321
510402413420
61043432413
7165445251
oct53304671
923353720
1011372985
116468768
123985709
1324827a0
141720961
15ee9b90
hexad89b9

11372985 has 24 divisors (see below), whose sum is σ = 21230664. Its totient is φ = 5598720.

The previous prime is 11372981. The next prime is 11372987. The reversal of 11372985 is 58927311.

It can be written as a sum of positive squares in 4 ways, for example, as 2601 + 11370384 = 51^2 + 3372^2 .

It is not a de Polignac number, because 11372985 - 22 = 11372981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11372981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9136 + ... + 10305.

It is an arithmetic number, because the mean of its divisors is an integer number (884611).

Almost surely, 211372985 is an apocalyptic number.

11372985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11372985 is a deficient number, since it is larger than the sum of its proper divisors (9857679).

11372985 is a wasteful number, since it uses less digits than its factorization.

11372985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19465 (or 19462 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 11372985 is about 3372.3856541030. The cubic root of 11372985 is about 224.8837918429.

The spelling of 11372985 in words is "eleven million, three hundred seventy-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 19441 58323 97205 174969 252733 291615 758199 874845 1263665 2274597 3790995 11372985