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2142786936 = 233417872767
BaseRepresentation
bin111111110111000…
…0101010101111000
312112100000212002010
41333232011111320
513342023140221
6552343205520
7104046250143
oct17756052570
95470025063
102142786936
119aa6025a4
124b97468a0
13281c1c084
1416482705a
15c81b9c76
hex7fb85578

2142786936 has 64 divisors (see below), whose sum is σ = 5496583680. Its totient is φ = 695704320.

The previous prime is 2142786931. The next prime is 2142786937. The reversal of 2142786936 is 6396872412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142786931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773025 + ... + 775791.

It is an arithmetic number, because the mean of its divisors is an integer number (85884120).

Almost surely, 22142786936 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 2142786936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748291840).

2142786936 is an abundant number, since it is smaller than the sum of its proper divisors (3353796744).

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

2142786936 is a wasteful number, since it uses less digits than its factorization.

2142786936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3600 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 2142786936 is about 46290.2466616889. The cubic root of 2142786936 is about 1289.2179094470.

The spelling of 2142786936 in words is "two billion, one hundred forty-two million, seven hundred eighty-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 787 984 1574 2361 2767 3148 4722 5534 6296 8301 9444 11068 16602 18888 22136 32267 33204 64534 66408 96801 113447 129068 193602 226894 258136 340341 387204 453788 680682 774408 907576 1361364 2177629 2722728 4355258 6532887 8710516 13065774 17421032 26131548 52263096 89282789 178565578 267848367 357131156 535696734 714262312 1071393468 2142786936