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2140345060 = 2257194671723
BaseRepresentation
bin111111110010011…
…0001001011100100
312112011102210110021
41333210301023210
513340412020220
6552215004524
7104016430030
oct17744611344
95464383407
102140345060
119a9194a17
124b8969744
13281575789
1416438d1c0
15c7d864aa
hex7f9312e4

2140345060 has 96 divisors (see below), whose sum is σ = 5421911040. Its totient is φ = 693318528.

The previous prime is 2140345049. The next prime is 2140345093. The reversal of 2140345060 is 605430412.

It is an unprimeable number.

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, 1241359 + ... + 1243081.

It is an arithmetic number, because the mean of its divisors is an integer number (56478240).

Almost surely, 22140345060 is an apocalyptic number.

2140345060 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 2140345060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710955520).

2140345060 is an abundant number, since it is smaller than the sum of its proper divisors (3281565980).

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

2140345060 is a wasteful number, since it uses less digits than its factorization.

2140345060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2140345060 is about 46263.8634357313. The cubic root of 2140345060 is about 1288.7280012163.

Adding to 2140345060 its reverse (605430412), we get a palindrome (2745775472).

The spelling of 2140345060 in words is "two billion, one hundred forty million, three hundred forty-five thousand, sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 467 532 665 934 1330 1723 1868 2335 2660 3269 3446 4670 6538 6892 8615 8873 9340 12061 13076 16345 17230 17746 24122 32690 32737 34460 35492 44365 48244 60305 62111 65380 65474 88730 120610 124222 130948 163685 177460 229159 241220 248444 310555 327370 458318 621110 654740 804641 916636 1145795 1242220 1609282 2291590 3218564 4023205 4583180 5632487 8046410 11264974 15288179 16092820 22529948 28162435 30576358 56324870 61152716 76440895 107017253 112649740 152881790 214034506 305763580 428069012 535086265 1070172530 2140345060