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1100980992 = 28319197383
BaseRepresentation
bin100000110011111…
…1010001100000000
32211201200121222210
41001213322030000
54223322342432
6301125502120
736166120056
oct10147721400
92751617883
101100980992
11515525351
12268871940
13147135357
14a63161d6
15669cb8cc
hex419fa300

1100980992 has 144 divisors (see below), whose sum is σ = 3108188160. Its totient is φ = 345010176.

The previous prime is 1100980961. The next prime is 1100981003. The reversal of 1100980992 is 2990890011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100980992.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2874433 + ... + 2874815.

It is an arithmetic number, because the mean of its divisors is an integer number (21584640).

Almost surely, 21100980992 is an apocalyptic number.

1100980992 is a gapful number since it is divisible by the number (12) 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 1100980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554094080).

1100980992 is an abundant number, since it is smaller than the sum of its proper divisors (2007207168).

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

1100980992 is a wasteful number, since it uses less digits than its factorization.

1100980992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The square root of 1100980992 is about 33181.0336186201. The cubic root of 1100980992 is about 1032.5868905021.

The spelling of 1100980992 in words is "one billion, one hundred million, nine hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 197 228 256 304 383 384 394 456 591 608 766 768 788 912 1149 1182 1216 1532 1576 1824 2298 2364 2432 3064 3152 3648 3743 4596 4728 4864 6128 6304 7277 7296 7486 9192 9456 11229 12256 12608 14554 14592 14972 18384 18912 21831 22458 24512 25216 29108 29944 36768 37824 43662 44916 49024 50432 58216 59888 73536 75451 75648 87324 89832 98048 116432 119776 147072 150902 151296 174648 179664 226353 232864 239552 294144 301804 349296 359328 452706 465728 479104 603608 698592 718656 905412 931456 958208 1207216 1397184 1433569 1437312 1810824 1862912 2414432 2794368 2867138 2874624 3621648 4300707 4828864 5588736 5734276 7243296 8601414 9657728 11468552 14486592 17202828 19315456 22937104 28973184 34405656 45874208 57946368 68811312 91748416 137622624 183496832 275245248 366993664 550490496 1100980992