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1939664080 = 245417692
BaseRepresentation
bin111001110011100…
…1110110011010000
312000011211010220101
41303213032303100
512433023222310
6520245422144
766031605214
oct16347166320
95004733811
101939664080
11905987372
1246170a954
1324bb10533
14145870944
15b544543a
hex739cecd0

1939664080 has 60 divisors (see below), whose sum is σ = 4625727372. Its totient is φ = 755957760.

The previous prime is 1939664059. The next prime is 1939664201. The reversal of 1939664080 is 804669391.

It can be written as a sum of positive squares in 6 ways, for example, as 386358336 + 1553305744 = 19656^2 + 39412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1939664080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2521936 + ... + 2522704.

Almost surely, 21939664080 is an apocalyptic number.

1939664080 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 1939664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312863686).

1939664080 is an abundant number, since it is smaller than the sum of its proper divisors (2686063292).

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

1939664080 is an frugal number, since it uses more digits than its factorization.

1939664080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 1939664080 is about 44041.6175906381. The cubic root of 1939664080 is about 1247.1217145319.

The spelling of 1939664080 in words is "one billion, nine hundred thirty-nine million, six hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 769 820 1538 1640 3076 3280 3845 6152 7690 12304 15380 30760 31529 61520 63058 126116 157645 252232 315290 504464 591361 630580 1182722 1261160 2365444 2522320 2956805 4730888 5913610 9461776 11827220 23654440 24245801 47308880 48491602 96983204 121229005 193966408 242458010 387932816 484916020 969832040 1939664080