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2014001052 = 2237711272659
BaseRepresentation
bin111100000001011…
…0011011110011100
312012100200212001120
41320002303132130
513111041013202
6531503010540
7100623504120
oct17002633634
95170625046
102014001052
1194393a888
12482599a50
1326133a0cb
141516a1580
15bbc2b0bc
hex780b379c

2014001052 has 96 divisors (see below), whose sum is σ = 5491261440. Its totient is φ = 562645440.

The previous prime is 2014001051. The next prime is 2014001063. The reversal of 2014001052 is 2501004102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014001051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756099 + ... + 758757.

It is an arithmetic number, because the mean of its divisors is an integer number (57200640).

Almost surely, 22014001052 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 2014001052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745630720).

2014001052 is an abundant number, since it is smaller than the sum of its proper divisors (3477260388).

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

2014001052 is a wasteful number, since it uses less digits than its factorization.

2014001052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2014001052 is about 44877.6230653986. The cubic root of 2014001052 is about 1262.8542525413.

Adding to 2014001052 its reverse (2501004102), we get a palindrome (4515005154).

The spelling of 2014001052 in words is "two billion, fourteen million, one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 127 142 213 254 284 381 426 497 508 762 852 889 994 1491 1524 1778 1988 2659 2667 2982 3556 5318 5334 5964 7977 9017 10636 10668 15954 18034 18613 27051 31908 36068 37226 54102 55839 63119 74452 108204 111678 126238 188789 189357 223356 252476 337693 377578 378714 566367 675386 755156 757428 1013079 1132734 1321523 1350772 2026158 2265468 2363851 2643046 3964569 4052316 4727702 5286092 7091553 7929138 9455404 14183106 15858276 23976203 28366212 47952406 71928609 95904812 143857218 167833421 287714436 335666842 503500263 671333684 1007000526 2014001052