Search a number
-
+
166144368 = 24313449593
BaseRepresentation
bin10011110011100…
…10100101110000
3102120122000020010
421321302211300
5320013104433
624253014520
74055126625
oct1171624560
9376560203
10166144368
11858697a5
1247784440
13285623a0
14180cc34c
15e8bce63
hex9e72970

166144368 has 80 divisors (see below), whose sum is σ = 464032800. Its totient is φ = 50921472.

The previous prime is 166144343. The next prime is 166144369. The reversal of 166144368 is 863441661.

166144368 is digitally balanced in base 2, 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 (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166144369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279880 + ... + 280472.

It is an arithmetic number, because the mean of its divisors is an integer number (5800410).

Almost surely, 2166144368 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 166144368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232016400).

166144368 is an abundant number, since it is smaller than the sum of its proper divisors (297888432).

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

166144368 is a wasteful number, since it uses less digits than its factorization.

166144368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1060 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 166144368 is about 12889.7000740902. The cubic root of 166144368 is about 549.7457425335.

The spelling of 166144368 in words is "one hundred sixty-six million, one hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 449 593 624 898 1186 1347 1779 1796 2372 2694 3558 3592 4744 5388 5837 7116 7184 7709 9488 10776 11674 14232 15418 17511 21552 23127 23348 28464 30836 35022 46254 46696 61672 70044 92508 93392 123344 140088 185016 266257 280176 370032 532514 798771 1065028 1597542 2130056 3195084 3461341 4260112 6390168 6922682 10384023 12780336 13845364 20768046 27690728 41536092 55381456 83072184 166144368