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1077845076 = 22337113137113
BaseRepresentation
bin100000000111110…
…1001110001010100
32210010011012111000
41000033221301110
54201412020301
6254541543300
735465350320
oct10017516124
92703135430
101077845076
11503462a60
12260b74b30
131423c4769
14a3212980
156495b786
hex403e9c54

1077845076 has 384 divisors, whose sum is σ = 3726213120. Its totient is φ = 261273600.

The previous prime is 1077844993. The next prime is 1077845077. The reversal of 1077845076 is 6705487701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077845077) 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 127 ways as a sum of consecutive naturals, for example, 9538396 + ... + 9538508.

It is an arithmetic number, because the mean of its divisors is an integer number (9703680).

Almost surely, 21077845076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077845076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863106560).

1077845076 is an abundant number, since it is smaller than the sum of its proper divisors (2648368044).

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

1077845076 is a wasteful number, since it uses less digits than its factorization.

1077845076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 1077845076 is about 32830.5509548652. The cubic root of 1077845076 is about 1025.3027306480.

The spelling of 1077845076 in words is "one billion, seventy-seven million, eight hundred forty-five thousand, seventy-six".