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1077238880 = 25513948437
BaseRepresentation
bin100000000110101…
…0101110001100000
32210002000101221022
41000031111301200
54201233121010
6254520545012
735460244064
oct10015256140
92702011838
101077238880
11503089573
12260922168
13142241873
14a30d5aa4
156488bd55
hex40355c60

1077238880 has 48 divisors (see below), whose sum is σ = 2563338960. Its totient is φ = 427786752.

The previous prime is 1077238861. The next prime is 1077238889. The reversal of 1077238880 is 888327701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077238889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1979 + ... + 46458.

It is an arithmetic number, because the mean of its divisors is an integer number (53402895).

Almost surely, 21077238880 is an apocalyptic number.

1077238880 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 1077238880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281669480).

1077238880 is an abundant number, since it is smaller than the sum of its proper divisors (1486100080).

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

1077238880 is a wasteful number, since it uses less digits than its factorization.

1077238880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48591 (or 48583 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 44.

The square root of 1077238880 is about 32821.3174628929. The cubic root of 1077238880 is about 1025.1104794657.

The spelling of 1077238880 in words is "one billion, seventy-seven million, two hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 695 1112 1390 2224 2780 4448 5560 11120 22240 48437 96874 193748 242185 387496 484370 774992 968740 1549984 1937480 3874960 6732743 7749920 13465486 26930972 33663715 53861944 67327430 107723888 134654860 215447776 269309720 538619440 1077238880