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2140061176 = 231127273041
BaseRepresentation
bin111111110001110…
…1011110111111000
312112010220101001001
41333203223313320
513340323424201
6552204534344
7104014135261
oct17743536770
95463811031
102140061176
119a9010700
124b88513b4
132814a64b6
14164317968
15c7d2c301
hex7f8ebdf8

2140061176 has 48 divisors (see below), whose sum is σ = 4418079120. Its totient is φ = 971097600.

The previous prime is 2140061173. The next prime is 2140061207. The reversal of 2140061176 is 6711600412.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140061173) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702216 + ... + 705256.

It is an arithmetic number, because the mean of its divisors is an integer number (92043315).

Almost surely, 22140061176 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 2140061176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209039560).

2140061176 is an abundant number, since it is smaller than the sum of its proper divisors (2278017944).

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

2140061176 is a wasteful number, since it uses less digits than its factorization.

2140061176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2140061176 is about 46260.7952374362. The cubic root of 2140061176 is about 1288.6710220181.

Adding to 2140061176 its reverse (6711600412), we get a palindrome (8851661588).

The spelling of 2140061176 in words is "two billion, one hundred forty million, sixty-one thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 727 968 1454 2908 3041 5816 6082 7997 12164 15994 24328 31988 33451 63976 66902 87967 133804 175934 267608 351868 367961 703736 735922 1471844 2210807 2943688 4421614 8843228 17686456 24318877 48637754 97275508 194551016 267507647 535015294 1070030588 2140061176