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10981440 = 263353141
BaseRepresentation
bin101001111001…
…000001000000
3202122220201000
4221321001000
510302401230
61031212000
7162224601
oct51710100
922586630
1010981440
116220578
123817000
1323764c2
14165bda8
15e6db60
hexa79040

10981440 has 224 divisors, whose sum is σ = 40965120. Its totient is φ = 2764800.

The previous prime is 10981429. The next prime is 10981447. The reversal of 10981440 is 4418901.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10981447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267820 + ... + 267860.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 210981440 is an apocalyptic number.

10981440 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 10981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

10981440 is an abundant number, since it is smaller than the sum of its proper divisors (29983680).

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

10981440 is a wasteful number, since it uses less digits than its factorization.

10981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10981440 is about 3313.8255838230. The cubic root of 10981440 is about 222.2728566100.

The spelling of 10981440 in words is "ten million, nine hundred eighty-one thousand, four hundred forty".