Search a number
-
+
2029913700 = 22352103179367
BaseRepresentation
bin111100011111110…
…0000011001100100
312020110122022002220
41320333200121210
513124124214300
6533232032340
7101205660513
oct17077403144
95213568086
102029913700
11951919231
124879926b0
1326471bc89
1415384467a
15bd320da0
hex78fe0664

2029913700 has 144 divisors (see below), whose sum is σ = 5979617280. Its totient is φ = 531607680.

The previous prime is 2029913693. The next prime is 2029913707. The reversal of 2029913700 is 73199202.

2029913700 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2029913693) and next prime (2029913707).

It is not an unprimeable number, because it can be changed into a prime (2029913707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5530917 + ... + 5531283.

It is an arithmetic number, because the mean of its divisors is an integer number (41525120).

Almost surely, 22029913700 is an apocalyptic number.

2029913700 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 2029913700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989808640).

2029913700 is an abundant number, since it is smaller than the sum of its proper divisors (3949703580).

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

2029913700 is a wasteful number, since it uses less digits than its factorization.

2029913700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 2029913700 is about 45054.5635868332. The cubic root of 2029913700 is about 1266.1714738699.

The spelling of 2029913700 in words is "two billion, twenty-nine million, nine hundred thirteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 179 206 300 309 358 367 412 515 537 618 716 734 895 1030 1074 1101 1236 1468 1545 1790 1835 2060 2148 2202 2575 2685 3090 3580 3670 4404 4475 5150 5370 5505 6180 7340 7725 8950 9175 10300 10740 11010 13425 15450 17900 18350 18437 22020 26850 27525 30900 36700 36874 37801 53700 55050 55311 65693 73748 75602 92185 110100 110622 113403 131386 151204 184370 189005 197079 221244 226806 262772 276555 328465 368740 378010 394158 453612 460925 553110 567015 656930 756020 788316 921850 945025 985395 1106220 1134030 1313860 1382775 1642325 1843700 1890050 1970790 2268060 2765550 2835075 3284650 3780100 3941580 4926975 5531100 5670150 6569300 6766379 9853950 11340300 13532758 19707900 20299137 27065516 33831895 40598274 67663790 81196548 101495685 135327580 169159475 202991370 338318950 405982740 507478425 676637900 1014956850 2029913700