Search a number
-
+
1609689060 = 2232574193049
BaseRepresentation
bin101111111110001…
…1110011111100100
311011011220200021100
41133330132133210
511244040022220
6423421120100
754614063010
oct13774363744
94134820240
101609689060
1175669a241
1238b0b9030
131c8648c45
14113ad7540
15964b4d90
hex5ff1e7e4

1609689060 has 144 divisors (see below), whose sum is σ = 5595408000. Its totient is φ = 366930432.

The previous prime is 1609689049. The next prime is 1609689077. The reversal of 1609689060 is 609869061.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1609688997 and 1609689015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526416 + ... + 529464.

It is an arithmetic number, because the mean of its divisors is an integer number (38857000).

Almost surely, 21609689060 is an apocalyptic number.

1609689060 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 1609689060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797704000).

1609689060 is an abundant number, since it is smaller than the sum of its proper divisors (3985718940).

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

1609689060 is a wasteful number, since it uses less digits than its factorization.

1609689060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1609689060 is about 40120.9304478348. The cubic root of 1609689060 is about 1171.9632608937.

The spelling of 1609689060 in words is "one billion, six hundred nine million, six hundred eighty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 419 420 630 838 1257 1260 1676 2095 2514 2933 3049 3771 4190 5028 5866 6098 6285 7542 8380 8799 9147 11732 12196 12570 14665 15084 15245 17598 18294 18855 21343 25140 26397 27441 29330 30490 35196 36588 37710 42686 43995 45735 52794 54882 58660 60980 64029 75420 85372 87990 91470 105588 106715 109764 128058 131985 137205 175980 182940 192087 213430 256116 263970 274410 320145 384174 426860 527940 548820 640290 768348 960435 1277531 1280580 1920870 2555062 3832593 3841740 5110124 6387655 7665186 8942717 11497779 12775310 15330372 17885434 19162965 22995558 25550620 26828151 35770868 38325930 44713585 45991116 53656302 57488895 76651860 80484453 89427170 107312604 114977790 134140755 160968906 178854340 229955580 268281510 321937812 402422265 536563020 804844530 1609689060