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2012922960 = 243527130949
BaseRepresentation
bin111011111111010…
…1100010001010000
312012021200002012020
41313332230101100
513110302013320
6531423531440
7100611364026
oct16776542120
95167602166
102012922960
119432738a4
12482159b80
13261050499
141514a0716
15bbab6940
hex77fac450

2012922960 has 80 divisors (see below), whose sum is σ = 6263289600. Its totient is φ = 534781440.

The previous prime is 2012922943. The next prime is 2012922971. The reversal of 2012922960 is 692292102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49566 + ... + 80514.

It is an arithmetic number, because the mean of its divisors is an integer number (78291120).

Almost surely, 22012922960 is an apocalyptic number.

2012922960 is a gapful number since it is divisible by the number (20) 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 2012922960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131644800).

2012922960 is an abundant number, since it is smaller than the sum of its proper divisors (4250366640).

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

2012922960 is a wasteful number, since it uses less digits than its factorization.

2012922960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31236 (or 31230 counting only the distinct ones).

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

The square root of 2012922960 is about 44865.6099925099. The cubic root of 2012922960 is about 1262.6288776059.

The spelling of 2012922960 in words is "two billion, twelve million, nine hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 271 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 10840 13008 16260 21680 30949 32520 61898 65040 92847 123796 154745 185694 247592 309490 371388 464235 495184 618980 742776 928470 1237960 1485552 1856940 2475920 3713880 7427760 8387179 16774358 25161537 33548716 41935895 50323074 67097432 83871790 100646148 125807685 134194864 167743580 201292296 251615370 335487160 402584592 503230740 670974320 1006461480 2012922960