Search a number
-
+
2121914860 = 2251389107857
BaseRepresentation
bin111111001111001…
…1101100111101100
312110212202102222021
41332132131213230
513321202233420
6550315555524
7103403656462
oct17636354754
95425672867
102121914860
1199984704a
124b275bba4
1327a7c1a30
14161b52832
15c64457aa
hex7e79d9ec

2121914860 has 96 divisors (see below), whose sum is σ = 4903778880. Its totient is φ = 766537728.

The previous prime is 2121914849. The next prime is 2121914863. The reversal of 2121914860 is 684191212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2121914863) 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, 2475552 + ... + 2476408.

It is an arithmetic number, because the mean of its divisors is an integer number (51081030).

Almost surely, 22121914860 is an apocalyptic number.

2121914860 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 2121914860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451889440).

2121914860 is an abundant number, since it is smaller than the sum of its proper divisors (2781864020).

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

2121914860 is a wasteful number, since it uses less digits than its factorization.

2121914860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 2121914860 is about 46064.2470903411. The cubic root of 2121914860 is about 1285.0183164432.

The spelling of 2121914860 in words is "two billion, one hundred twenty-one million, nine hundred fourteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 107 130 178 214 260 356 428 445 535 857 890 1070 1157 1391 1714 1780 2140 2314 2782 3428 4285 4628 5564 5785 6955 8570 9523 11141 11570 13910 17140 19046 22282 23140 27820 38092 44564 47615 55705 76273 91699 95230 111410 123799 152546 183398 190460 222820 247598 305092 366796 381365 458495 495196 618995 762730 916990 991549 1192087 1237990 1525460 1833980 1983098 2384174 2475980 3966196 4768348 4957745 5960435 8161211 9915490 11920870 16322422 19830980 23841740 32644844 40806055 81612110 106095743 163224220 212191486 424382972 530478715 1060957430 2121914860