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2015014968 = 233437229367
BaseRepresentation
bin111100000011010…
…1011000000111000
312012102121100220000
41320012223000320
513111320434333
6531540433000
7100635226131
oct17006530070
95172540800
102015014968
1194447262a
124829a8760
13261603765
14151886c88
15bbd7b713
hex781ab038

2015014968 has 160 divisors (see below), whose sum is σ = 5837620800. Its totient is φ = 648891648.

The previous prime is 2015014957. The next prime is 2015015011. The reversal of 2015014968 is 8694105102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5490321 + ... + 5490687.

It is an arithmetic number, because the mean of its divisors is an integer number (36485130).

Almost surely, 22015014968 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 2015014968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918810400).

2015014968 is an abundant number, since it is smaller than the sum of its proper divisors (3822605832).

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

2015014968 is a wasteful number, since it uses less digits than its factorization.

2015014968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2015014968 is about 44888.9180979003. The cubic root of 2015014968 is about 1263.0661381178.

The spelling of 2015014968 in words is "two billion, fifteen million, fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 229 296 324 333 367 444 458 648 666 687 734 888 916 999 1101 1332 1374 1468 1832 1998 2061 2202 2664 2748 2936 2997 3303 3996 4122 4404 5496 5994 6183 6606 7992 8244 8473 8808 9909 11988 12366 13212 13579 16488 16946 18549 19818 23976 24732 25419 26424 27158 29727 33892 37098 39636 40737 49464 50838 54316 59454 67784 74196 76257 79272 81474 84043 101676 108632 118908 122211 148392 152514 162948 168086 203352 228771 237816 244422 252129 305028 325896 336172 366633 457542 488844 504258 610056 672344 686313 733266 756387 915084 977688 1008516 1099899 1372626 1466532 1512774 1830168 2017032 2199798 2269161 2745252 2933064 3025548 3109591 4399596 4538322 5490504 6051096 6219182 6807483 8799192 9076644 9328773 12438364 13614966 18153288 18657546 24876728 27229932 27986319 37315092 54459864 55972638 74630184 83958957 111945276 167917914 223890552 251876871 335835828 503753742 671671656 1007507484 2015014968