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1155328080 = 243525718731
BaseRepresentation
bin100010011011100…
…1110100001010000
32222111221202011220
41010313032201100
54331230444310
6310350405040
740426061304
oct10467164120
92874852156
101155328080
115431750a5
12282b00780
131554832aa
14ad621d04
156b664670
hex44dce850

1155328080 has 80 divisors (see below), whose sum is σ = 3595644864. Its totient is φ = 306872320.

The previous prime is 1155328063. The next prime is 1155328091. The reversal of 1155328080 is 808235511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 52315 + ... + 71045.

Almost surely, 21155328080 is an apocalyptic number.

1155328080 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 1155328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797822432).

1155328080 is an abundant number, since it is smaller than the sum of its proper divisors (2440316784).

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

1155328080 is a wasteful number, since it uses less digits than its factorization.

1155328080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19004 (or 18998 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 1155328080 is about 33990.1173872642. The cubic root of 1155328080 is about 1049.3050821365.

The spelling of 1155328080 in words is "one billion, one hundred fifty-five million, three hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 514 771 1028 1285 1542 2056 2570 3084 3855 4112 5140 6168 7710 10280 12336 15420 18731 20560 30840 37462 56193 61680 74924 93655 112386 149848 187310 224772 280965 299696 374620 449544 561930 749240 899088 1123860 1498480 2247720 4495440 4813867 9627734 14441601 19255468 24069335 28883202 38510936 48138670 57766404 72208005 77021872 96277340 115532808 144416010 192554680 231065616 288832020 385109360 577664040 1155328080