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2136007302 = 2311136773509
BaseRepresentation
bin111111101010000…
…1110001010000110
312111212021102011120
41333110032022012
513333304213202
6551542014410
7103634522352
oct17724161206
95455242146
102136007302
119a67a19a0
124b7417406
132806b7260
14163980462
15c77cb0bc
hex7f50e286

2136007302 has 128 divisors (see below), whose sum is σ = 5173701120. Its totient is φ = 579363840.

The previous prime is 2136007297. The next prime is 2136007319. The reversal of 2136007302 is 2037006312.

2136007302 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4196224 + ... + 4196732.

It is an arithmetic number, because the mean of its divisors is an integer number (40419540).

Almost surely, 22136007302 is an apocalyptic number.

2136007302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136007302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586850560).

2136007302 is an abundant number, since it is smaller than the sum of its proper divisors (3037693818).

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

2136007302 is a wasteful number, since it uses less digits than its factorization.

2136007302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 2136007302 is about 46216.9590302088. The cubic root of 2136007302 is about 1287.8568066542.

The spelling of 2136007302 in words is "two billion, one hundred thirty-six million, seven thousand, three hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 67 73 78 134 143 146 201 219 286 402 429 438 509 737 803 858 871 949 1018 1474 1527 1606 1742 1898 2211 2409 2613 2847 3054 4422 4818 4891 5226 5599 5694 6617 9581 9782 10439 11198 13234 14673 16797 19162 19851 20878 28743 29346 31317 33594 34103 37157 39702 53801 57486 62634 63583 68206 72787 74314 102309 107602 111471 127166 145574 161403 190749 204618 218361 222942 322806 375133 381498 408727 436722 443339 483041 699413 750266 817454 886678 966082 1125399 1226181 1330017 1398826 1449123 2098239 2250798 2452362 2489519 2660034 2898246 4196478 4876729 4979038 5313451 7468557 9753458 10626902 14630187 14937114 15940353 27384709 29260374 31880706 32363747 54769418 64727494 82154127 97091241 164308254 194182482 356001217 712002434 1068003651 2136007302