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10439060940 = 22325731119809
BaseRepresentation
bin10011011100011011…
…10110110111001100
3222221111221020111200
421232031312313030
5132334344422230
64443505145500
7516455361000
oct115615666714
928844836450
1010439060940
114477639aa0
12203402b290
13ca4957049
147105b4700
154116da160
hex26e376dcc

10439060940 has 576 divisors, whose sum is σ = 42456960000. Its totient is φ = 2052449280.

The previous prime is 10439060927. The next prime is 10439060981. The reversal of 10439060940 is 4906093401.

10439060940 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 9 + 0 + 609 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10439060895 and 10439060904.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12903256 + ... + 12904064.

It is an arithmetic number, because the mean of its divisors is an integer number (73710000).

Almost surely, 210439060940 is an apocalyptic number.

10439060940 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 10439060940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480000).

10439060940 is an abundant number, since it is smaller than the sum of its proper divisors (32017899060).

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

10439060940 is a wasteful number, since it uses less digits than its factorization.

10439060940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10439060940 in words is "ten billion, four hundred thirty-nine million, sixty thousand, nine hundred forty".