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1126364250 = 235311311439
BaseRepresentation
bin100001100100010…
…1111010001011010
32220111110020021110
41003020233101122
54301322124000
6303433521150
736624636534
oct10310572132
92814406243
101126364250
11528892150
122752731b6
1314c481b2b
14a9842854
1568d42850
hex4322f45a

1126364250 has 128 divisors (see below), whose sum is σ = 3083857920. Its totient is φ = 271560000.

The previous prime is 1126364237. The next prime is 1126364293. The reversal of 1126364250 is 524636211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2565531 + ... + 2565969.

It is an arithmetic number, because the mean of its divisors is an integer number (24092640).

Almost surely, 21126364250 is an apocalyptic number.

1126364250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126364250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541928960).

1126364250 is an abundant number, since it is smaller than the sum of its proper divisors (1957493670).

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

1126364250 is a wasteful number, since it uses less digits than its factorization.

1126364250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1126364250 is about 33561.3505389756. The cubic root of 1126364250 is about 1040.4621497548.

It can be divided in two parts, 112636 and 4250, that added together give a triangular number (116886 = T483).

The spelling of 1126364250 in words is "one billion, one hundred twenty-six million, three hundred sixty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 125 150 165 250 275 311 330 375 439 550 622 750 825 878 933 1317 1375 1555 1650 1866 2195 2634 2750 3110 3421 4125 4390 4665 4829 6585 6842 7775 8250 9330 9658 10263 10975 13170 14487 15550 17105 20526 21950 23325 24145 28974 32925 34210 38875 46650 48290 51315 54875 65850 72435 77750 85525 102630 109750 116625 120725 136529 144870 164625 171050 233250 241450 256575 273058 329250 362175 409587 427625 513150 603625 682645 724350 819174 855250 1207250 1282875 1365290 1501819 1810875 2047935 2565750 3003638 3413225 3621750 4095870 4505457 6826450 7509095 9010914 10239675 15018190 17066125 20479350 22527285 34132250 37545475 45054570 51198375 75090950 102396750 112636425 187727375 225272850 375454750 563182125 1126364250