Search a number
-
+
2074947000 = 23353798807
BaseRepresentation
bin111101110101101…
…0010110110111000
312100121101020011220
41323223102312320
513222141301000
6541521152040
7102263521110
oct17353226670
95317336156
102074947000
11975287435
1249aa8b620
13270b587b9
14159808040
15c22691a0
hex7bad2db8

2074947000 has 128 divisors (see below), whose sum is σ = 7398743040. Its totient is φ = 474268800.

The previous prime is 2074946981. The next prime is 2074947037. The reversal of 2074947000 is 7494702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28404 + ... + 70403.

It is an arithmetic number, because the mean of its divisors is an integer number (57802680).

Almost surely, 22074947000 is an apocalyptic number.

2074947000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2074947000 is an abundant number, since it is smaller than the sum of its proper divisors (5323796040).

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

2074947000 is a wasteful number, since it uses less digits than its factorization.

2074947000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98838 (or 98824 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 2074947000 is about 45551.5861414287. The cubic root of 2074947000 is about 1275.4663422901.

The spelling of 2074947000 in words is "two billion, seventy-four million, nine hundred forty-seven thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 98807 197614 296421 395228 494035 592842 691649 790456 988070 1185684 1383298 1482105 1976140 2074947 2371368 2470175 2766596 2964210 3458245 3952280 4149894 4940350 5533192 5928420 6916490 7410525 8299788 9880700 10374735 11856840 12350875 13832980 14821050 16599576 17291225 19761400 20749470 24701750 27665960 29642100 34582450 37052625 41498940 49403500 51873675 59284200 69164900 74105250 82997880 86456125 98807000 103747350 138329800 148210500 172912250 207494700 259368375 296421000 345824500 414989400 518736750 691649000 1037473500 2074947000