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2071309104 = 243317893169
BaseRepresentation
bin111101101110101…
…1010101100110000
312100100112101221000
41323131122230300
513220223342404
6541311202000
7102220560024
oct17335325460
95310471830
102071309104
11973222207
12499816300
132701839b7
1415913c384
15c1c9b339
hex7b75ab30

2071309104 has 160 divisors (see below), whose sum is σ = 6367896000. Its totient is φ = 642318336.

The previous prime is 2071309069. The next prime is 2071309109. The reversal of 2071309104 is 4019031702.

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

It is not an unprimeable number, because it can be changed into a prime (2071309109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652032 + ... + 655200.

It is an arithmetic number, because the mean of its divisors is an integer number (39799350).

Almost surely, 22071309104 is an apocalyptic number.

2071309104 is a gapful number since it is divisible by the number (24) 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 2071309104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183948000).

2071309104 is an abundant number, since it is smaller than the sum of its proper divisors (4296586896).

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

2071309104 is a wasteful number, since it uses less digits than its factorization.

2071309104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2071309104 is about 45511.6370173607. The cubic root of 2071309104 is about 1274.7205034411.

The spelling of 2071309104 in words is "two billion, seventy-one million, three hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 89 102 108 136 144 153 178 204 216 267 272 306 356 408 432 459 534 612 712 801 816 918 1068 1224 1424 1513 1602 1836 2136 2403 2448 3026 3169 3204 3672 4272 4539 4806 6052 6338 6408 7344 9078 9507 9612 12104 12676 12816 13617 18156 19014 19224 24208 25352 27234 28521 36312 38028 38448 40851 50704 53873 54468 57042 72624 76056 81702 85563 107746 108936 114084 152112 161619 163404 171126 215492 217872 228168 282041 323238 326808 342252 430984 456336 484857 564082 646476 653616 684504 846123 861968 969714 1128164 1292952 1369008 1454571 1692246 1939428 2256328 2538369 2585904 2909142 3384492 3878856 4512656 4794697 5076738 5818284 6768984 7615107 7757712 9589394 10153476 11636568 13537968 14384091 15230214 19178788 20306952 23273136 28768182 30460428 38357576 40613904 43152273 57536364 60920856 76715152 86304546 115072728 121841712 129456819 172609092 230145456 258913638 345218184 517827276 690436368 1035654552 2071309104