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2134140360 = 2335118831831
BaseRepresentation
bin111111100110100…
…0110010111001000
312111201202120012120
41333031012113020
513332314442420
6551434011240
7103612615362
oct17715062710
95451676176
102134140360
119a5737270
124b6876b20
132801b2561
14163615d32
15c755cd40
hex7f3465c8

2134140360 has 128 divisors (see below), whose sum is σ = 6996188160. Its totient is φ = 516499200.

The previous prime is 2134140343. The next prime is 2134140361. The reversal of 2134140360 is 630414312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2134140360.

It is not an unprimeable number, because it can be changed into a prime (2134140361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1164645 + ... + 1166475.

It is an arithmetic number, because the mean of its divisors is an integer number (54657720).

Almost surely, 22134140360 is an apocalyptic number.

2134140360 is a gapful number since it is divisible by the number (20) 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 2134140360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498094080).

2134140360 is an abundant number, since it is smaller than the sum of its proper divisors (4862047800).

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

2134140360 is a wasteful number, since it uses less digits than its factorization.

2134140360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2134140360 is about 46196.7570290383. The cubic root of 2134140360 is about 1287.4814872758.

Adding to 2134140360 its reverse (630414312), we get a palindrome (2764554672).

The spelling of 2134140360 in words is "two billion, one hundred thirty-four million, one hundred forty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 883 1320 1766 1831 2649 3532 3662 4415 5298 5493 7064 7324 8830 9155 9713 10596 10986 13245 14648 17660 18310 19426 20141 21192 21972 26490 27465 29139 35320 36620 38852 40282 43944 48565 52980 54930 58278 60423 73240 77704 80564 97130 100705 105960 109860 116556 120846 145695 161128 194260 201410 219720 233112 241692 291390 302115 388520 402820 483384 582780 604230 805640 1165560 1208460 1616773 2416920 3233546 4850319 6467092 8083865 9700638 12934184 16167730 17784503 19401276 24251595 32335460 35569006 38802552 48503190 53353509 64670920 71138012 88922515 97006380 106707018 142276024 177845030 194012760 213414036 266767545 355690060 426828072 533535090 711380120 1067070180 2134140360