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1083871992 = 2337171312897
BaseRepresentation
bin100000010011010…
…1001001011111000
32210112111101212010
41000212221023320
54204432400432
6255315045520
735600521440
oct10046511370
92715441763
101083871992
115068aa085
12262ba08a0
13143724a98
14a3d41120
156524c3cc
hex409a92f8

1083871992 has 128 divisors (see below), whose sum is σ = 3305111040. Its totient is φ = 289136640.

The previous prime is 1083871991. The next prime is 1083872011. The reversal of 1083871992 is 2991783801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083871991) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 372688 + ... + 375584.

It is an arithmetic number, because the mean of its divisors is an integer number (25821180).

Almost surely, 21083871992 is an apocalyptic number.

1083871992 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 1083871992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652555520).

1083871992 is an abundant number, since it is smaller than the sum of its proper divisors (2221239048).

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

1083871992 is a wasteful number, since it uses less digits than its factorization.

1083871992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 1083871992 is about 32922.2112258578. The cubic root of 1083871992 is about 1027.2102191921.

The spelling of 1083871992 in words is "one billion, eighty-three million, eight hundred seventy-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 131 136 168 204 238 262 357 393 408 476 524 714 786 917 952 1048 1428 1572 1834 2227 2751 2856 2897 3144 3668 4454 5502 5794 6681 7336 8691 8908 11004 11588 13362 15589 17382 17816 20279 22008 23176 26724 31178 34764 40558 46767 49249 53448 60837 62356 69528 81116 93534 98498 121674 124712 147747 162232 187068 196996 243348 295494 344743 374136 379507 393992 486696 590988 689486 759014 1034229 1138521 1181976 1378972 1518028 2068458 2277042 2656549 2757944 3036056 4136916 4554084 5313098 6451619 7969647 8273832 9108168 10626196 12903238 15939294 19354857 21252392 25806476 31878588 38709714 45161333 51612952 63757176 77419428 90322666 135483999 154838856 180645332 270967998 361290664 541935996 1083871992