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1999934000 = 24533132257
BaseRepresentation
bin111011100110100…
…1001001000110000
312011101020011200122
41313031021020300
513043440342000
6530241305412
7100363105241
oct16715111060
95141204618
101999934000
11936a02019
12479935268
1325b4532cc
1414d87ccc8
15ba89d085
hex77349230

1999934000 has 80 divisors (see below), whose sum is σ = 4991990016. Its totient is φ = 774144000.

The previous prime is 1999933997. The next prime is 1999934011. The reversal of 1999934000 is 4399991.

1999934000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45872 + ... + 78128.

Almost surely, 21999934000 is an apocalyptic number.

1999934000 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 1999934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495995008).

1999934000 is an abundant number, since it is smaller than the sum of its proper divisors (2992056016).

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

1999934000 is a wasteful number, since it uses less digits than its factorization.

1999934000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32311 (or 32295 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 44.

The square root of 1999934000 is about 44720.6216414754. The cubic root of 1999934000 is about 1259.9071906109.

The spelling of 1999934000 in words is "one billion, nine hundred ninety-nine million, nine hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 32257 62000 64514 129028 161285 258056 322570 516112 645140 806425 999967 1290280 1612850 1999934 2580560 3225700 3999868 4032125 4999835 6451400 7999736 8064250 9999670 12902800 15999472 16128500 19999340 24999175 32257000 39998680 49998350 64514000 79997360 99996700 124995875 199993400 249991750 399986800 499983500 999967000 1999934000