Search a number
-
+
160106336 = 2513834637
BaseRepresentation
bin10011000101100…
…00011101100000
3102011021020121022
421202300131200
5311441400321
623515345012
73652611215
oct1142603540
9364236538
10160106336
1182415295
1245752168
1327229ca0
1417399b0c
15e0c8dab
hex98b0760

160106336 has 48 divisors (see below), whose sum is σ = 343620144. Its totient is φ = 72989184.

The previous prime is 160106321. The next prime is 160106389. The reversal of 160106336 is 633601061.

160106336 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 (26).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32210 + ... + 36846.

It is an arithmetic number, because the mean of its divisors is an integer number (7158753).

Almost surely, 2160106336 is an apocalyptic number.

160106336 is a gapful number since it is divisible by the number (16) 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 160106336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171810072).

160106336 is an abundant number, since it is smaller than the sum of its proper divisors (183513808).

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

160106336 is a wasteful number, since it uses less digits than its factorization.

160106336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 160106336 is about 12653.3132419932. The cubic root of 160106336 is about 543.0037634822.

Adding to 160106336 its reverse (633601061), we get a palindrome (793707397).

The spelling of 160106336 in words is "one hundred sixty million, one hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 83 104 166 208 332 416 664 1079 1328 2158 2656 4316 4637 8632 9274 17264 18548 34528 37096 60281 74192 120562 148384 241124 384871 482248 769742 964496 1539484 1928992 3078968 5003323 6157936 10006646 12315872 20013292 40026584 80053168 160106336