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1045133320 = 2357112911701
BaseRepresentation
bin111110010010110…
…111100000001000
32200211121021101111
4332102313200020
54120023231240
6251412500104
734620325630
oct7622674010
92624537344
101045133320
11496a50150
1225201a634
131386b03aa
149cb396c0
1561b491ea
hex3e4b7808

1045133320 has 128 divisors (see below), whose sum is σ = 3033158400. Its totient is φ = 314496000.

The previous prime is 1045133279. The next prime is 1045133357. The reversal of 1045133320 is 233315401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1045133291 and 1045133300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83470 + ... + 95170.

It is an arithmetic number, because the mean of its divisors is an integer number (23696550).

Almost surely, 21045133320 is an apocalyptic number.

1045133320 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 1045133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516579200).

1045133320 is an abundant number, since it is smaller than the sum of its proper divisors (1988025080).

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

1045133320 is a wasteful number, since it uses less digits than its factorization.

1045133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11759 (or 11755 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1045133320 is about 32328.5217725772. The cubic root of 1045133320 is about 1014.8236146700.

Adding to 1045133320 its reverse (233315401), we get a palindrome (1278448721).

The spelling of 1045133320 in words is "one billion, forty-five million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 29 35 40 44 55 56 58 70 77 88 110 116 140 145 154 203 220 232 280 290 308 319 385 406 440 580 616 638 770 812 1015 1160 1276 1540 1595 1624 2030 2233 2552 3080 3190 4060 4466 6380 8120 8932 11165 11701 12760 17864 22330 23402 44660 46804 58505 81907 89320 93608 117010 128711 163814 234020 257422 327628 339329 409535 468040 514844 643555 655256 678658 819070 900977 1029688 1287110 1357316 1638140 1696645 1801954 2375303 2574220 2714632 3276280 3393290 3603908 3732619 4504885 4750606 5148440 6786580 7207816 7465238 9009770 9501212 11876515 13573160 14930476 18019540 18663095 19002424 23753030 26128333 29860952 36039080 37326190 47506060 52256666 74652380 95012120 104513332 130641665 149304760 209026664 261283330 522566660 1045133320