Search a number
-
+
2015246064 = 2431310929629
BaseRepresentation
bin111100000011110…
…0011011011110000
312012110001002220010
41320013203123300
513111400333224
6531545414520
7100640210646
oct17007433360
95173032803
102015246064
11944610217
12482a9a440
132616849c0
14151907196
15bbdc4e29
hex781e36f0

2015246064 has 80 divisors (see below), whose sum is σ = 5658144800. Its totient is φ = 614366208.

The previous prime is 2015246053. The next prime is 2015246071. The reversal of 2015246064 is 4606425102.

It is a super-2 number, since 2×20152460642 = 8122433396934984192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53202 + ... + 82830.

It is an arithmetic number, because the mean of its divisors is an integer number (70726810).

Almost surely, 22015246064 is an apocalyptic number.

2015246064 is a gapful number since it is divisible by the number (24) 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 2015246064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829072400).

2015246064 is an abundant number, since it is smaller than the sum of its proper divisors (3642898736).

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

2015246064 is a wasteful number, since it uses less digits than its factorization.

2015246064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29762 (or 29756 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2015246064 is about 44891.4921115349. The cubic root of 2015246064 is about 1263.1144220229.

The spelling of 2015246064 in words is "two billion, fifteen million, two hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 109 156 208 218 312 327 436 624 654 872 1308 1417 1744 2616 2834 4251 5232 5668 8502 11336 17004 22672 29629 34008 59258 68016 88887 118516 177774 237032 355548 385177 474064 711096 770354 1155531 1422192 1540708 2311062 3081416 3229561 4622124 6162832 6459122 9244248 9688683 12918244 18488496 19377366 25836488 38754732 41984293 51672976 77509464 83968586 125952879 155018928 167937172 251905758 335874344 503811516 671748688 1007623032 2015246064