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2014600992 = 253211271367
BaseRepresentation
bin111100000010100…
…0101111100100000
312012101211100000120
41320011011330200
513111214212432
6531523520240
7100631553165
oct17005057440
95171740016
102014600992
1194420a5a8
12482829080
132614ba1c1
141517ba06c
15bbce8c2c
hex78145f20

2014600992 has 96 divisors (see below), whose sum is σ = 5347528704. Its totient is φ = 664070400.

The previous prime is 2014600979. The next prime is 2014601003. The reversal of 2014600992 is 2990064102.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 5489193 + ... + 5489559.

It is an arithmetic number, because the mean of its divisors is an integer number (55703424).

Almost surely, 22014600992 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 2014600992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673764352).

2014600992 is an abundant number, since it is smaller than the sum of its proper divisors (3332927712).

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

2014600992 is a wasteful number, since it uses less digits than its factorization.

2014600992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2014600992 is about 44884.3067452311. The cubic root of 2014600992 is about 1262.9796350582.

The spelling of 2014600992 in words is "two billion, fourteen million, six hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 271 367 422 542 633 734 813 844 1084 1101 1266 1468 1626 1688 2168 2202 2532 2936 3252 3376 4336 4404 5064 5872 6504 6752 8672 8808 10128 11744 13008 17616 20256 26016 35232 57181 77437 99457 114362 154874 171543 198914 228724 232311 298371 309748 343086 397828 457448 464622 596742 619496 686172 795656 914896 929244 1193484 1238992 1372344 1591312 1829792 1858488 2386968 2477984 2744688 3182624 3716976 4773936 5489376 7433952 9547872 20985427 41970854 62956281 83941708 125912562 167883416 251825124 335766832 503650248 671533664 1007300496 2014600992