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1131830064 = 24337573461
BaseRepresentation
bin100001101110110…
…0101101100110000
32220212201220222000
41003131211230300
54304222030224
6304151014000
740022253051
oct10335455460
92825656860
101131830064
11530985752
1227706a300
13150646941
14aa466728
15695720c9
hex43765b30

1131830064 has 80 divisors (see below), whose sum is σ = 3254003040. Its totient is φ = 376669440.

The previous prime is 1131830017. The next prime is 1131830071. The reversal of 1131830064 is 4600381311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325294 + ... + 328754.

It is an arithmetic number, because the mean of its divisors is an integer number (40675038).

Almost surely, 21131830064 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 1131830064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627001520).

1131830064 is an abundant number, since it is smaller than the sum of its proper divisors (2122172976).

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

1131830064 is a wasteful number, since it uses less digits than its factorization.

1131830064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1131830064 is about 33642.6821760691. The cubic root of 1131830064 is about 1042.1424227820.

The spelling of 1131830064 in words is "one billion, one hundred thirty-one million, eight hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 757 1514 2271 3028 3461 4542 6056 6813 6922 9084 10383 12112 13626 13844 18168 20439 20766 27252 27688 31149 36336 40878 41532 54504 55376 62298 81756 83064 93447 109008 124596 163512 166128 186894 249192 327024 373788 498384 747576 1495152 2619977 5239954 7859931 10479908 15719862 20959816 23579793 31439724 41919632 47159586 62879448 70739379 94319172 125758896 141478758 188638344 282957516 377276688 565915032 1131830064