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11921958 = 2332329331
BaseRepresentation
bin101101011110…
…101000100110
3211102200212000
4231132220212
511023000313
61103310130
7203222616
oct55365046
924380760
1011921958
116803164
123bab346
132615619
141824a46
1510a7673
hexb5ea26

11921958 has 64 divisors (see below), whose sum is σ = 28684800. Its totient is φ = 3659040.

The previous prime is 11921957. The next prime is 11921977. The reversal of 11921958 is 85912911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11921957) 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 31 ways as a sum of consecutive naturals, for example, 35853 + ... + 36183.

It is an arithmetic number, because the mean of its divisors is an integer number (448200).

Almost surely, 211921958 is an apocalyptic number.

11921958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11921958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342400).

11921958 is an abundant number, since it is smaller than the sum of its proper divisors (16762842).

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

11921958 is a wasteful number, since it uses less digits than its factorization.

11921958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its digits is 6480, while the sum is 36.

The square root of 11921958 is about 3452.8188484194. The cubic root of 11921958 is about 228.4454587507.

The spelling of 11921958 in words is "eleven million, nine hundred twenty-one thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 87 138 174 207 261 331 414 522 621 662 667 783 993 1242 1334 1566 1986 2001 2979 4002 5958 6003 7613 8937 9599 12006 15226 17874 18009 19198 22839 28797 36018 45678 57594 68517 86391 137034 172782 205551 220777 259173 411102 441554 518346 662331 1324662 1986993 3973986 5960979 11921958