Search a number
-
+
1932797040 = 243519423859
BaseRepresentation
bin111001100110100…
…0010010001110000
311222200220021002120
41303031002101300
512424244001130
6515442314240
765616334536
oct16315022160
94880807076
101932797040
11902017029
1245b358980
1324a5779b5
141449a4156
15b4a3a910
hex73342470

1932797040 has 80 divisors (see below), whose sum is σ = 6307036800. Its totient is φ = 488284416.

The previous prime is 1932797029. The next prime is 1932797089. The reversal of 1932797040 is 407972391.

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

It is a junction number, because it is equal to n+sod(n) for n = 1932796983 and 1932797001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207370 + ... + 216489.

It is an arithmetic number, because the mean of its divisors is an integer number (78837960).

Almost surely, 21932797040 is an apocalyptic number.

1932797040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1932797040 is an abundant number, since it is smaller than the sum of its proper divisors (4374239760).

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

1932797040 is a wasteful number, since it uses less digits than its factorization.

1932797040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423894 (or 423888 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 1932797040 is about 43963.5876606994. The cubic root of 1932797040 is about 1245.6482358337.

The spelling of 1932797040 in words is "one billion, nine hundred thirty-two million, seven hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 423859 847718 1271577 1695436 2119295 2543154 3390872 4238590 5086308 6357885 6781744 8053321 8477180 10172616 12715770 16106642 16954360 20345232 24159963 25431540 32213284 33908720 40266605 48319926 50863080 64426568 80533210 96639852 101726160 120799815 128853136 161066420 193279704 241599630 322132840 386559408 483199260 644265680 966398520 1932797040