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1128373792 = 25713241727
BaseRepresentation
bin100001101000001…
…1001111000100000
32220122020022211221
41003100121320200
54302330430132
6303544544424
736651006340
oct10320317040
92818208757
101128373792
11529a34a27
12275a82114
1314ca06700
14a9c06d20
15690dce97
hex43419e20

1128373792 has 144 divisors (see below), whose sum is σ = 2820085632. Its totient is φ = 434903040.

The previous prime is 1128373787. The next prime is 1128373837. The reversal of 1128373792 is 2973738211.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1551733 + ... + 1552459.

It is an arithmetic number, because the mean of its divisors is an integer number (19583928).

Almost surely, 21128373792 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 1128373792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410042816).

1128373792 is an abundant number, since it is smaller than the sum of its proper divisors (1691711840).

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

1128373792 is a wasteful number, since it uses less digits than its factorization.

1128373792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 790 counting only the distinct ones).

The product of its digits is 127008, while the sum is 43.

The square root of 1128373792 is about 33591.2755339835. The cubic root of 1128373792 is about 1041.0805436101.

The spelling of 1128373792 in words is "one billion, one hundred twenty-eight million, three hundred seventy-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 41 52 56 82 91 104 112 164 169 182 208 224 287 328 338 364 416 533 574 656 676 727 728 1066 1148 1183 1312 1352 1454 1456 2132 2296 2366 2704 2908 2912 3731 4264 4592 4732 5089 5408 5816 6929 7462 8528 9184 9451 9464 10178 11632 13858 14924 17056 18902 18928 20356 23264 27716 29807 29848 37804 37856 40712 48503 55432 59614 59696 66157 75608 81424 97006 110864 119228 119392 122863 132314 151216 162848 194012 208649 221728 238456 245726 264628 302432 387491 388024 417298 476912 491452 529256 774982 776048 834596 860041 953824 982904 1058512 1549964 1552096 1669192 1720082 1965808 2117024 2712437 3099928 3338384 3440164 3931616 5037383 5424874 6199856 6676768 6880328 10074766 10849748 12399712 13760656 20149532 21699496 27521312 35261681 40299064 43398992 70523362 80598128 86797984 141046724 161196256 282093448 564186896 1128373792