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2132887936 = 27611731579
BaseRepresentation
bin111111100100001…
…0100100110000000
312111122101221012111
41333020110212000
513332004403221
6551351105104
7103566151114
oct17710244600
95448357174
102132887936
119a4a61303
124b6372194
1327cb6448a
141633ab744
15c73b1be1
hex7f214980

2132887936 has 64 divisors (see below), whose sum is σ = 4346485200. Its totient is φ = 1042237440.

The previous prime is 2132887931. The next prime is 2132887943. The reversal of 2132887936 is 6397882312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2132887936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132887931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1349995 + ... + 1351573.

Almost surely, 22132887936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173242600).

2132887936 is an abundant number, since it is smaller than the sum of its proper divisors (2213597264).

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

2132887936 is a wasteful number, since it uses less digits than its factorization.

2132887936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1815 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 2132887936 is about 46183.1997159140. The cubic root of 2132887936 is about 1287.2295844059.

The spelling of 2132887936 in words is "two billion, one hundred thirty-two million, eight hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 173 244 346 488 692 976 1384 1579 1952 2768 3158 3904 5536 6316 7808 10553 11072 12632 21106 22144 25264 42212 50528 84424 96319 101056 168848 192638 202112 273167 337696 385276 546334 675392 770552 1092668 1350784 1541104 2185336 3082208 4370672 6164416 8741344 12328832 16663187 17482688 33326374 34965376 66652748 133305496 266610992 533221984 1066443968 2132887936