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2168134740 = 2232567179779
BaseRepresentation
bin1000000100111011…
…0001110001010100
312121002201122201200
42001032301301110
513420020302430
6555050352500
7104504561352
oct20116616124
95532648650
102168134740
11a129457a2
1250612b730
13287255685
14167d447d2
15ca525460
hex813b1c54

2168134740 has 72 divisors (see below), whose sum is σ = 6674871840. Its totient is φ = 569536704.

The previous prime is 2168134663. The next prime is 2168134741. The reversal of 2168134740 is 474318612.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2168134695 and 2168134704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168134741) 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 23 ways as a sum of consecutive naturals, for example, 77830 + ... + 101949.

Almost surely, 22168134740 is an apocalyptic number.

2168134740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2168134740 is an abundant number, since it is smaller than the sum of its proper divisors (4506737100).

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

2168134740 is a wasteful number, since it uses less digits than its factorization.

2168134740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179861 (or 179856 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2168134740 is about 46563.2337794531. The cubic root of 2168134740 is about 1294.2815372416.

The spelling of 2168134740 in words is "two billion, one hundred sixty-eight million, one hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 179779 359558 539337 719116 898895 1078674 1618011 1797790 2157348 2696685 3236022 3595580 5393370 6472044 8090055 10786740 12045193 16180110 24090386 32360220 36135579 48180772 60225965 72271158 108406737 120451930 144542316 180677895 216813474 240903860 361355790 433626948 542033685 722711580 1084067370 2168134740