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1080834800 = 245217315619
BaseRepresentation
bin100000001101100…
…0011101011110000
32210022210002121112
41000123003223300
54203143203200
6255130012452
735532641603
oct10033035360
92708702545
101080834800
11505115201
12261b77128
13142c00526
14a379033a
1564d4c535
hex406c3af0

1080834800 has 60 divisors (see below), whose sum is σ = 2611882680. Its totient is φ = 429807360.

The previous prime is 1080834793. The next prime is 1080834827. The reversal of 1080834800 is 84380801.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 61391 + ... + 77009.

It is an arithmetic number, because the mean of its divisors is an integer number (43531378).

Almost surely, 21080834800 is an apocalyptic number.

1080834800 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 1080834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305941340).

1080834800 is an abundant number, since it is smaller than the sum of its proper divisors (1531047880).

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

1080834800 is a wasteful number, since it uses less digits than its factorization.

1080834800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15810 (or 15799 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1080834800 is about 32876.0520744204. The cubic root of 1080834800 is about 1026.2498495393.

The spelling of 1080834800 in words is "one billion, eighty million, eight hundred thirty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 173 200 346 400 692 865 1384 1730 2768 3460 4325 6920 8650 13840 15619 17300 31238 34600 62476 69200 78095 124952 156190 249904 312380 390475 624760 780950 1249520 1561900 2702087 3123800 5404174 6247600 10808348 13510435 21616696 27020870 43233392 54041740 67552175 108083480 135104350 216166960 270208700 540417400 1080834800