Search a number
-
+
165560664 = 233431371171
BaseRepresentation
bin10011101111001…
…00000101011000
3102112112100112110
421313210011120
5314340420124
624232312320
74050146103
oct1167440530
9375470473
10165560664
11855001a5
12475426a0
13283b97b9
1417db973a
15e805029
hex9de4158

165560664 has 64 divisors (see below), whose sum is σ = 426983040. Its totient is φ = 53464320.

The previous prime is 165560663. The next prime is 165560687. The reversal of 165560664 is 466065561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165560663) by changing a digit.

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, 140799 + ... + 141969.

It is an arithmetic number, because the mean of its divisors is an integer number (6671610).

Almost surely, 2165560664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165560664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213491520).

165560664 is an abundant number, since it is smaller than the sum of its proper divisors (261422376).

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

165560664 is a wasteful number, since it uses less digits than its factorization.

165560664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 165560664 is about 12867.0378875637. The cubic root of 165560664 is about 549.1011920265.

The spelling of 165560664 in words is "one hundred sixty-five million, five hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 137 172 258 274 344 411 516 548 822 1032 1096 1171 1644 2342 3288 3513 4684 5891 7026 9368 11782 14052 17673 23564 28104 35346 47128 50353 70692 100706 141384 151059 160427 201412 302118 320854 402824 481281 604236 641708 962562 1208472 1283416 1925124 3850248 6898361 13796722 20695083 27593444 41390166 55186888 82780332 165560664