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1130069072 = 241119133617
BaseRepresentation
bin100001101011011…
…0111110001010000
32220202102110100002
41003112313301100
54303244202242
6304045145132
740001300006
oct10326676120
92822373302
101130069072
1152a992690
1227655b1a8
1315017b232
14aa128a76
1569325432
hex435b7c50

1130069072 has 40 divisors (see below), whose sum is σ = 2401132032. Its totient is φ = 510963200.

The previous prime is 1130069053. The next prime is 1130069077. The reversal of 1130069072 is 2709600311.

It is a super-2 number, since 2×11300690722 = 2554112214981882368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130069077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16808 + ... + 50424.

Almost surely, 21130069072 is an apocalyptic number.

It is a pronic number, being equal to 33616×33617.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130069072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200566016).

1130069072 is an abundant number, since it is smaller than the sum of its proper divisors (1271062960).

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

1130069072 is a wasteful number, since it uses less digits than its factorization.

1130069072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33827 (or 33821 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 1130069072 is about 33616.4999962816. The cubic root of 1130069072 is about 1041.6016593060.

Adding to 1130069072 its reverse (2709600311), we get a palindrome (3839669383).

The spelling of 1130069072 in words is "one billion, one hundred thirty million, sixty-nine thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 191 382 764 1528 2101 3056 4202 8404 16808 33616 33617 67234 134468 268936 369787 537872 739574 1479148 2958296 5916592 6420847 12841694 25683388 51366776 70629317 102733552 141258634 282517268 565034536 1130069072