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1118387328 = 27323139911
BaseRepresentation
bin100001010101001…
…0011110010000000
32212221102221222220
41002222103302000
54242301343303
6302550531040
736500064312
oct10252236200
92787387886
101118387328
11524333a53
12272666a80
1314a91b066
14a87677b2
15682b9053
hex42a93c80

1118387328 has 128 divisors (see below), whose sum is σ = 3125606400. Its totient is φ = 353633280.

The previous prime is 1118387323. The next prime is 1118387339. The reversal of 1118387328 is 8237838111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1118387328.

It is not an unprimeable number, because it can be changed into a prime (1118387323) 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 15 ways as a sum of consecutive naturals, for example, 1227193 + ... + 1228103.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 21118387328 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 1118387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562803200).

1118387328 is an abundant number, since it is smaller than the sum of its proper divisors (2007219072).

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

1118387328 is a wasteful number, since it uses less digits than its factorization.

1118387328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1078 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 1118387328 is about 33442.2984856005. The cubic root of 1118387328 is about 1038.0001410746. Note that the first 3 decimals are identical.

The spelling of 1118387328 in words is "one billion, one hundred eighteen million, three hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 139 184 192 276 278 368 384 417 552 556 736 834 911 1104 1112 1472 1668 1822 2208 2224 2733 2944 3197 3336 3644 4416 4448 5466 6394 6672 7288 8832 8896 9591 10932 12788 13344 14576 17792 19182 20953 21864 25576 26688 29152 38364 41906 43728 51152 53376 58304 62859 76728 83812 87456 102304 116608 125718 126629 153456 167624 174912 204608 251436 253258 306912 335248 349824 379887 409216 502872 506516 613824 670496 759774 1005744 1013032 1227648 1340992 1519548 2011488 2026064 2681984 2912467 3039096 4022976 4052128 5824934 6078192 8045952 8104256 8737401 11649868 12156384 16208512 17474802 23299736 24312768 34949604 46599472 48625536 69899208 93198944 139798416 186397888 279596832 372795776 559193664 1118387328