Search a number
-
+
1036130360 = 235314491861
BaseRepresentation
bin111101110000100…
…001100000111000
32200012122212122112
4331300201200320
54110222132420
6250451511452
734450651136
oct7560414070
92605585575
101036130360
11491961091
1224abb8588
1313687a5b5
149b874756
1560e6b8c5
hex3dc21838

1036130360 has 64 divisors (see below), whose sum is σ = 2413152000. Its totient is φ = 399974400.

The previous prime is 1036130341. The next prime is 1036130371. The reversal of 1036130360 is 630316301.

It is a super-3 number, since 3×10361303603 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555830 + ... + 557690.

It is an arithmetic number, because the mean of its divisors is an integer number (37705500).

Almost surely, 21036130360 is an apocalyptic number.

1036130360 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 1036130360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576000).

1036130360 is an abundant number, since it is smaller than the sum of its proper divisors (1377021640).

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

1036130360 is a wasteful number, since it uses less digits than its factorization.

1036130360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 1036130360 is about 32188.9788592307. The cubic root of 1036130360 is about 1011.9012516457.

Adding to 1036130360 its reverse (630316301), we get a palindrome (1666446661).

The spelling of 1036130360 in words is "one billion, thirty-six million, one hundred thirty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 449 620 898 1240 1796 1861 2245 3592 3722 4490 7444 8980 9305 13919 14888 17960 18610 27838 37220 55676 57691 69595 74440 111352 115382 139190 230764 278380 288455 461528 556760 576910 835589 1153820 1671178 2307640 3342356 4177945 6684712 8355890 16711780 25903259 33423560 51806518 103613036 129516295 207226072 259032590 518065180 1036130360