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1040045112 = 233279832203
BaseRepresentation
bin111101111111011…
…101010000111000
32200111000202200100
4331333131100320
54112222420422
6251111435400
734526144331
oct7577352070
92614022610
101040045112
11494095317
12250385b60
1313761b412
149c1b3288
15614917ac
hex3dfdd438

1040045112 has 96 divisors (see below), whose sum is σ = 2888121600. Its totient is φ = 338015808.

The previous prime is 1040045081. The next prime is 1040045131. The reversal of 1040045112 is 2115400401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471003 + ... + 473205.

It is an arithmetic number, because the mean of its divisors is an integer number (30084600).

Almost surely, 21040045112 is an apocalyptic number.

1040045112 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 1040045112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444060800).

1040045112 is an abundant number, since it is smaller than the sum of its proper divisors (1848076488).

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

1040045112 is a wasteful number, since it uses less digits than its factorization.

1040045112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1040045112 is about 32249.7304174779. The cubic root of 1040045112 is about 1013.1740528542.

Adding to 1040045112 its reverse (2115400401), we get a palindrome (3155445513).

The spelling of 1040045112 in words is "one billion, forty million, forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 83 158 166 237 249 316 332 474 498 632 664 711 747 948 996 1422 1494 1896 1992 2203 2844 2988 4406 5688 5976 6557 6609 8812 13114 13218 17624 19671 19827 26228 26436 39342 39654 52456 52872 59013 78684 79308 118026 157368 158616 174037 182849 236052 348074 365698 472104 522111 548547 696148 731396 1044222 1097094 1392296 1462792 1566333 1645641 2088444 2194188 3132666 3291282 4176888 4388376 6265332 6582564 12530664 13165128 14445071 28890142 43335213 57780284 86670426 115560568 130005639 173340852 260011278 346681704 520022556 1040045112