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2136630264 = 233237154517
BaseRepresentation
bin111111101011010…
…0110001111111000
312111220110001201020
41333112212033320
513333434132024
6552003222440
7103643025516
oct17726461770
95456401636
102136630264
119a7087a3a
124b7677a20
13280874982
14163aa34b6
15c78a0979
hex7f5a63f8

2136630264 has 64 divisors (see below), whose sum is σ = 5652426240. Its totient is φ = 671637120.

The previous prime is 2136630263. The next prime is 2136630323. The reversal of 2136630264 is 4620366312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136630263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11934 + ... + 66450.

It is an arithmetic number, because the mean of its divisors is an integer number (88319160).

Almost surely, 22136630264 is an apocalyptic number.

2136630264 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 2136630264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826213120).

2136630264 is an abundant number, since it is smaller than the sum of its proper divisors (3515795976).

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

2136630264 is a wasteful number, since it uses less digits than its factorization.

2136630264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54620 (or 54616 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 2136630264 is about 46223.6980779340. The cubic root of 2136630264 is about 1287.9819947202.

Adding to 2136630264 its reverse (4620366312), we get a palindrome (6756996576).

The spelling of 2136630264 in words is "two billion, one hundred thirty-six million, six hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 71 92 138 142 184 213 276 284 426 552 568 852 1633 1704 3266 4899 6532 9798 13064 19596 39192 54517 109034 163551 218068 327102 436136 654204 1253891 1308408 2507782 3761673 3870707 5015564 7523346 7741414 10031128 11612121 15046692 15482828 23224242 30093384 30965656 46448484 89026261 92896968 178052522 267078783 356105044 534157566 712210088 1068315132 2136630264