Search a number
-
+
161318080 = 2657116547
BaseRepresentation
bin10011001110110…
…00010011000000
3102020112210210201
421213120103000
5312244134310
624001334544
73666116050
oct1147302300
9366483721
10161318080
1183072730
1246037454
13275626b1
14175d3560
15e267e3a
hex99d84c0

161318080 has 112 divisors (see below), whose sum is σ = 478999296. Its totient is φ = 50273280.

The previous prime is 161318071. The next prime is 161318089. The reversal of 161318080 is 80813161.

It is a happy number.

161318080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161318071) and next prime (161318089).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (161318089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21367 + ... + 27913.

Almost surely, 2161318080 is an apocalyptic number.

161318080 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 161318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239499648).

161318080 is an abundant number, since it is smaller than the sum of its proper divisors (317681216).

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

161318080 is a wasteful number, since it uses less digits than its factorization.

161318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 161318080 is about 12701.1054636988. The cubic root of 161318080 is about 544.3702064850.

The spelling of 161318080 in words is "one hundred sixty-one million, three hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 6547 12320 13094 24640 26188 32735 45829 52376 65470 72017 91658 104752 130940 144034 183316 209504 229145 261880 288068 360085 366632 419008 458290 504119 523760 576136 720170 733264 916580 1008238 1047520 1152272 1440340 1466528 1833160 2016476 2095040 2304544 2520595 2880680 2933056 3666320 4032952 4609088 5041190 5761360 7332640 8065904 10082380 11522720 14665280 16131808 20164760 23045440 32263616 40329520 80659040 161318080