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2142306060 = 2235471674549
BaseRepresentation
bin111111110110000…
…1111111100001100
312112022010102102220
41333230033330030
513341412243220
6552325015340
7104042205156
oct17754177414
95468112386
102142306060
119aa304284
124b9554550
13281ab122b
1416473dad6
15c8122540
hex7fb0ff0c

2142306060 has 96 divisors (see below), whose sum is σ = 6164121600. Its totient is φ = 555656448.

The previous prime is 2142306059. The next prime is 2142306071. The reversal of 2142306060 is 606032412.

It is a super-3 number, since 3×21423060603 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2142306060.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468666 + ... + 473214.

It is an arithmetic number, because the mean of its divisors is an integer number (64209600).

Almost surely, 22142306060 is an apocalyptic number.

2142306060 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 2142306060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082060800).

2142306060 is an abundant number, since it is smaller than the sum of its proper divisors (4021815540).

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

2142306060 is a wasteful number, since it uses less digits than its factorization.

2142306060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4773 counting only the distinct ones).

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

The square root of 2142306060 is about 46285.0522307148. The cubic root of 2142306060 is about 1289.1214617908.

Adding to 2142306060 its reverse (606032412), we get a palindrome (2748338472).

The spelling of 2142306060 in words is "two billion, one hundred forty-two million, three hundred six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 167 188 235 282 334 470 501 564 668 705 835 940 1002 1410 1670 2004 2505 2820 3340 4549 5010 7849 9098 10020 13647 15698 18196 22745 23547 27294 31396 39245 45490 47094 54588 68235 78490 90980 94188 117735 136470 156980 213803 235470 272940 427606 470940 641409 759683 855212 1069015 1282818 1519366 2138030 2279049 2565636 3038732 3207045 3798415 4276060 4558098 6414090 7596830 9116196 11395245 12828180 15193660 22790490 35705101 45580980 71410202 107115303 142820404 178525505 214230606 357051010 428461212 535576515 714102020 1071153030 2142306060