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1123952060 = 2257112431543
BaseRepresentation
bin100001011111110…
…0010010110111100
32220022220200101002
41002333202112330
54300212431220
6303310105432
736565302110
oct10277422674
92808820332
101123952060
11527494900
122744ab278
1314bb18bba
14a93b5740
1568a17c75
hex42fe25bc

1123952060 has 144 divisors (see below), whose sum is σ = 3035923968. Its totient is φ = 341953920.

The previous prime is 1123952047. The next prime is 1123952077. The reversal of 1123952060 is 602593211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727649 + ... + 729191.

Almost surely, 21123952060 is an apocalyptic number.

1123952060 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 1123952060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517961984).

1123952060 is an abundant number, since it is smaller than the sum of its proper divisors (1911971908).

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

1123952060 is a wasteful number, since it uses less digits than its factorization.

1123952060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 1123952060 is about 33525.3942556982. The cubic root of 1123952060 is about 1039.7188774189.

The spelling of 1123952060 in words is "one billion, one hundred twenty-three million, nine hundred fifty-two thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 43 44 55 70 77 86 110 121 140 154 172 215 220 242 301 308 385 430 473 484 602 605 770 847 860 946 1204 1210 1505 1540 1543 1694 1892 2365 2420 3010 3086 3311 3388 4235 4730 5203 6020 6172 6622 7715 8470 9460 10406 10801 13244 15430 16555 16940 16973 20812 21602 26015 30860 33110 33946 36421 43204 52030 54005 66220 66349 67892 72842 84865 104060 108010 118811 132698 145684 169730 182105 186703 216020 237622 265396 331745 339460 364210 373406 464443 475244 594055 663490 728420 729839 746812 928886 933515 1188110 1306921 1326980 1459678 1857772 1867030 2322215 2376220 2613842 2919356 3649195 3734060 4644430 5108873 5227684 6534605 7298390 8028229 9288860 10217746 13069210 14596780 16056458 20435492 25544365 26138420 32112916 40141145 51088730 56197603 80282290 102177460 112395206 160564580 224790412 280988015 561976030 1123952060