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10996440 = 23357131953
BaseRepresentation
bin101001111100…
…101011011000
3202200200021120
4221330223120
510303341230
61031405240
7162316410
oct51745330
922620246
1010996440
116230874
123823820
132380290
141663640
15e73310
hexa7cad8

10996440 has 256 divisors, whose sum is σ = 43545600. Its totient is φ = 2156544.

The previous prime is 10996439. The next prime is 10996441. The reversal of 10996440 is 4469901.

It is an interprime number because it is at equal distance from previous prime (10996439) and next prime (10996441).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10996441) 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 63 ways as a sum of consecutive naturals, for example, 207454 + ... + 207506.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 210996440 is an apocalyptic number.

10996440 is a gapful number since it is divisible by the number (10) 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 10996440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

10996440 is an abundant number, since it is smaller than the sum of its proper divisors (32549160).

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

10996440 is a wasteful number, since it uses less digits than its factorization.

10996440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 10996440 is about 3316.0880567319. The cubic root of 10996440 is about 222.3740144406.

The spelling of 10996440 in words is "ten million, nine hundred ninety-six thousand, four hundred forty".