Search a number
-
+
169075980 = 223258311317
BaseRepresentation
bin10100001001111…
…10010100001100
3102210010221122100
422010332110030
5321240412410
624435515100
74122056613
oct1204762414
9383127570
10169075980
1187491317
1248758a90
132904a878
141865287a
15ec9b8c0
hexa13e50c

169075980 has 72 divisors (see below), whose sum is σ = 519088752. Its totient is φ = 44539776.

The previous prime is 169075961. The next prime is 169075993. The reversal of 169075980 is 89570961.

169075980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9282 + ... + 20598.

It is an arithmetic number, because the mean of its divisors is an integer number (7209566).

Almost surely, 2169075980 is an apocalyptic number.

169075980 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 169075980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259544376).

169075980 is an abundant number, since it is smaller than the sum of its proper divisors (350012772).

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

169075980 is a wasteful number, since it uses less digits than its factorization.

169075980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11415 (or 11410 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 169075980 is about 13002.9219793091. The cubic root of 169075980 is about 552.9603242422.

The spelling of 169075980 in words is "one hundred sixty-nine million, seventy-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 11317 14940 22634 33951 45268 56585 67902 101853 113170 135804 169755 203706 226340 339510 407412 509265 679020 939311 1018530 1878622 2037060 2817933 3757244 4696555 5635866 8453799 9393110 11271732 14089665 16907598 18786220 28179330 33815196 42268995 56358660 84537990 169075980