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10940832 = 2536767
BaseRepresentation
bin101001101111…
…000110100000
3202120212000000
4221233012200
510300101312
61030300000
7161665320
oct51570640
922525000
1010940832
1161a3011
1237b7600
132360b86
14164b280
15e61adc
hexa6f1a0

10940832 has 168 divisors, whose sum is σ = 37459296. Its totient is φ = 3079296.

The previous prime is 10940807. The next prime is 10940837. The reversal of 10940832 is 23804901.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10940796 and 10940805.

It is not an unprimeable number, because it can be changed into a prime (10940837) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 163263 + ... + 163329.

It is an arithmetic number, because the mean of its divisors is an integer number (222972).

Almost surely, 210940832 is an apocalyptic number.

10940832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10940832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18729648).

10940832 is an abundant number, since it is smaller than the sum of its proper divisors (26518464).

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

10940832 is an frugal number, since it uses more digits than its factorization.

10940832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10940832 is about 3307.6928515205. The cubic root of 10940832 is about 221.9985390700.

The spelling of 10940832 in words is "ten million, nine hundred forty thousand, eight hundred thirty-two".