Search a number
-
+
1126604010 = 235746311587
BaseRepresentation
bin100001100100110…
…1001110011101010
32220111220102011110
41003021221303222
54301402312020
6303443011150
736626655540
oct10311516352
92814812143
101126604010
11528a362a4
12275369ab6
1314c536cbc
14a98a5d90
1568d8d8e0
hex43269cea

1126604010 has 64 divisors (see below), whose sum is σ = 3097055232. Its totient is φ = 256931136.

The previous prime is 1126603981. The next prime is 1126604021. The reversal of 1126604010 is 104066211.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 91437 + ... + 103023.

It is an arithmetic number, because the mean of its divisors is an integer number (48391488).

Almost surely, 21126604010 is an apocalyptic number.

1126604010 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 1126604010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548527616).

1126604010 is an abundant number, since it is smaller than the sum of its proper divisors (1970451222).

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

1126604010 is a wasteful number, since it uses less digits than its factorization.

1126604010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12067.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1126604010 is about 33564.9223148215. The cubic root of 1126604010 is about 1040.5359694233.

The spelling of 1126604010 in words is "one billion, one hundred twenty-six million, six hundred four thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 463 926 1389 2315 2778 3241 4630 6482 6945 9723 11587 13890 16205 19446 23174 32410 34761 48615 57935 69522 81109 97230 115870 162218 173805 243327 347610 405545 486654 811090 1216635 2433270 5364781 10729562 16094343 26823905 32188686 37553467 53647810 75106934 80471715 112660401 160943430 187767335 225320802 375534670 563302005 1126604010