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1126000000 = 2756563
BaseRepresentation
bin100001100011101…
…0110010110000000
32220110202201121201
41003013112112000
54301224000000
6303422030544
736621561556
oct10307262600
92813681551
101126000000
11528663514
12275118454
1314c3850b8
14a9789bd6
1568cbe96a
hex431d6580

1126000000 has 112 divisors (see below), whose sum is σ = 2808948420. Its totient is φ = 449600000.

The previous prime is 1125999991. The next prime is 1126000019. The reversal of 1126000000 is 6211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999719 + ... + 2000281.

Almost surely, 21126000000 is an apocalyptic number.

1126000000 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 1126000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404474210).

1126000000 is an abundant number, since it is smaller than the sum of its proper divisors (1682948420).

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

1126000000 is an frugal number, since it uses more digits than its factorization.

1126000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1126000000 is about 33555.9234711250. The cubic root of 1126000000 is about 1040.3499808306.

Adding to 1126000000 its reverse (6211), we get a palindrome (1126006211).

The spelling of 1126000000 in words is "one billion, one hundred twenty-six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 563 625 640 800 1000 1126 1250 1600 2000 2252 2500 2815 3125 3200 4000 4504 5000 5630 6250 8000 9008 10000 11260 12500 14075 15625 16000 18016 20000 22520 25000 28150 31250 36032 40000 45040 50000 56300 62500 70375 72064 80000 90080 100000 112600 125000 140750 180160 200000 225200 250000 281500 351875 360320 400000 450400 500000 563000 703750 900800 1000000 1126000 1407500 1759375 1801600 2000000 2252000 2815000 3518750 4504000 5630000 7037500 8796875 9008000 11260000 14075000 17593750 22520000 28150000 35187500 45040000 56300000 70375000 112600000 140750000 225200000 281500000 563000000 1126000000