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1994135200 = 25528392971
BaseRepresentation
bin111011011011100…
…0001011010100000
312010222022120020021
41312313001122200
513040444311300
6525513123224
7100262604151
oct16667013240
95128276207
101994135200
11933701322
124779b9514
1325a1a2a75
1414cbad928
15ba104d1a
hex76dc16a0

1994135200 has 72 divisors (see below), whose sum is σ = 4875625440. Its totient is φ = 796435200.

The previous prime is 1994135183. The next prime is 1994135203. The reversal of 1994135200 is 25314991.

It is not an unprimeable number, because it can be changed into a prime (1994135203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669715 + ... + 672685.

It is an arithmetic number, because the mean of its divisors is an integer number (67717020).

Almost surely, 21994135200 is an apocalyptic number.

1994135200 is a gapful number since it is divisible by the number (10) 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 1994135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437812720).

1994135200 is an abundant number, since it is smaller than the sum of its proper divisors (2881490240).

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

1994135200 is a wasteful number, since it uses less digits than its factorization.

1994135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 1994135200 is about 44655.7409523121. The cubic root of 1994135200 is about 1258.6883133207.

The spelling of 1994135200 in words is "one billion, nine hundred ninety-four million, one hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 839 1678 2971 3356 4195 5942 6712 8390 11884 13424 14855 16780 20975 23768 26848 29710 33560 41950 47536 59420 67120 74275 83900 95072 118840 134240 148550 167800 237680 297100 335600 475360 594200 671200 1188400 2376800 2492669 4985338 9970676 12463345 19941352 24926690 39882704 49853380 62316725 79765408 99706760 124633450 199413520 249266900 398827040 498533800 997067600 1994135200