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10940037120 = 21133539569
BaseRepresentation
bin10100011000001001…
…11011100000000000
31001020102121110122000
422030010323200000
5134401122141440
65005322544000
7535050531645
oct121404734000
931212543560
1010940037120
1147044028a1
122153968000
13105469155c
1475ad41dcc
15440697730
hex28c13b800

10940037120 has 192 divisors, whose sum is σ = 38889396000. Its totient is φ = 2917269504.

The previous prime is 10940037103. The next prime is 10940037187. The reversal of 10940037120 is 2173004901.

10940037120 is a `hidden beast` number, since 109 + 400 + 37 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 256696 + ... + 296264.

Almost surely, 210940037120 is an apocalyptic number.

10940037120 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 10940037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19444698000).

10940037120 is an abundant number, since it is smaller than the sum of its proper divisors (27949358880).

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

10940037120 is an equidigital number, since it uses as much as digits as its factorization.

10940037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39605 (or 39579 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10940037120 in words is "ten billion, nine hundred forty million, thirty-seven thousand, one hundred twenty".