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2136066460 = 22511109281317
BaseRepresentation
bin111111101010001…
…1100100110011100
312111212101102022121
41333110130212130
513333313111320
6551543152324
7103635160003
oct17724344634
95455342277
102136066460
119a6832390
124b74456a4
13280708168
14163997c3a
15c77dd8aa
hex7f51c99c

2136066460 has 96 divisors (see below), whose sum is σ = 4971637440. Its totient is φ = 764467200.

The previous prime is 2136066403. The next prime is 2136066461. The reversal of 2136066460 is 646606312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136066461) 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, 6738222 + ... + 6738538.

It is an arithmetic number, because the mean of its divisors is an integer number (51787890).

Almost surely, 22136066460 is an apocalyptic number.

2136066460 is a gapful number since it is divisible by the number (20) 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 2136066460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485818720).

2136066460 is an abundant number, since it is smaller than the sum of its proper divisors (2835570980).

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

2136066460 is a wasteful number, since it uses less digits than its factorization.

2136066460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 2136066460 is about 46217.5990289413. The cubic root of 2136066460 is about 1287.8686958659.

The spelling of 2136066460 in words is "two billion, one hundred thirty-six million, sixty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 218 220 281 317 436 545 562 634 1090 1124 1199 1268 1405 1585 2180 2398 2810 3091 3170 3487 4796 5620 5995 6182 6340 6974 11990 12364 13948 15455 17435 23980 30629 30910 34553 34870 61258 61820 69106 69740 89077 122516 138212 153145 172765 178154 306290 336919 345530 356308 380083 445385 612580 673838 691060 760166 890770 979847 1347676 1520332 1684595 1781540 1900415 1959694 3369190 3800830 3919388 4899235 6738380 7601660 9709393 9798470 19418786 19596940 38837572 48546965 97093930 106803323 194187860 213606646 427213292 534016615 1068033230 2136066460