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4287387060 = 223251112791693
BaseRepresentation
bin1111111110001100…
…0101010110110100
3102001210110211101100
43333203011112310
532240032341220
61545233330100
7211150121505
oct37743052664
912053424340
104287387060
1119001333a0
129b7a06930
13534324528
142c95a2bac
151a15e1d90
hexff8c55b4

4287387060 has 144 divisors (see below), whose sum is σ = 14206832640. Its totient is φ = 1037940480.

The previous prime is 4287387053. The next prime is 4287387067. The reversal of 4287387060 is 607837824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4287387053) and next prime (4287387067).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 4287386997 and 4287387015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287387067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2531574 + ... + 2533266.

It is an arithmetic number, because the mean of its divisors is an integer number (98658560).

Almost surely, 24287387060 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 4287387060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103416320).

4287387060 is an abundant number, since it is smaller than the sum of its proper divisors (9919445580).

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

4287387060 is a wasteful number, since it uses less digits than its factorization.

4287387060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4287387060 is about 65478.1418490171. The cubic root of 4287387060 is about 1624.5418271210.

The spelling of 4287387060 in words is "four billion, two hundred eighty-seven million, three hundred eighty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1279 1693 1980 2558 3386 3837 5079 5116 6395 6772 7674 8465 10158 11511 12790 14069 15237 15348 16930 18623 19185 20316 23022 25395 25580 28138 30474 33860 37246 38370 42207 46044 50790 55869 56276 57555 60948 70345 74492 76185 76740 84414 93115 101580 111738 115110 126621 140690 152370 167607 168828 186230 211035 223476 230220 253242 279345 281380 304740 335214 372460 422070 506484 558690 633105 670428 838035 844140 1117380 1266210 1676070 2165347 2532420 3352140 4330694 6496041 8661388 10826735 12992082 19488123 21653470 23818817 25984164 32480205 38976246 43306940 47637634 64960410 71456451 77952492 95275268 97440615 119094085 129920820 142912902 194881230 214369353 238188170 285825804 357282255 389762460 428738706 476376340 714564510 857477412 1071846765 1429129020 2143693530 4287387060