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1071468810 = 23453171601
BaseRepresentation
bin111111110111010…
…101000100001010
32202200011020220000
4333313111010022
54143244000220
6254153143430
735360222526
oct7767250412
92680136800
101071468810
114aa8a8415
1225a9bab76
13140ca1419
14a2432d86
15640ec390
hex3fdd510a

1071468810 has 160 divisors (see below), whose sum is σ = 3020903424. Its totient is φ = 272160000.

The previous prime is 1071468791. The next prime is 1071468821. The reversal of 1071468810 is 188641701.

It is a super-2 number, since 2×10714688102 = 2296090821605632200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1782510 + ... + 1783110.

Almost surely, 21071468810 is an apocalyptic number.

1071468810 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 1071468810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510451712).

1071468810 is an abundant number, since it is smaller than the sum of its proper divisors (1949434614).

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

1071468810 is a wasteful number, since it uses less digits than its factorization.

1071468810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1071468810 is about 32733.2981839594. The cubic root of 1071468810 is about 1023.2769178357.

It can be divided in two parts, 10714 and 68810, that added together give a square (79524 = 2822).

The spelling of 1071468810 in words is "one billion, seventy-one million, four hundred sixty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 71 81 90 93 135 142 155 162 186 213 270 279 310 355 405 426 465 558 601 639 710 810 837 930 1065 1202 1278 1395 1674 1803 1917 2130 2201 2511 2790 3005 3195 3606 3834 4185 4402 5022 5409 5751 6010 6390 6603 8370 9015 9585 10818 11005 11502 12555 13206 16227 18030 18631 19170 19809 22010 25110 27045 28755 32454 33015 37262 39618 42671 48681 54090 55893 57510 59427 66030 81135 85342 93155 97362 99045 111786 118854 128013 162270 167679 178281 186310 198090 213355 243405 256026 279465 297135 335358 356562 384039 426710 486810 503037 558930 594270 640065 768078 838395 891405 1006074 1152117 1280130 1322801 1509111 1676790 1782810 1920195 2304234 2515185 2645602 3018222 3456351 3840390 3968403 5030370 5760585 6614005 6912702 7545555 7936806 11521170 11905209 13228010 15091110 17281755 19842015 23810418 34563510 35715627 39684030 59526045 71431254 107146881 119052090 178578135 214293762 357156270 535734405 1071468810