Search a number
-
+
161528016 = 243131715227
BaseRepresentation
bin10011010000010…
…11100011010000
3102020221110210010
421220023203100
5312322344031
624010034520
74000652106
oct1150134320
9366843703
10161528016
11831a6431
1246118a40
1327607110
1417649c76
15e2aa246
hex9a0b8d0

161528016 has 80 divisors (see below), whose sum is σ = 475844544. Its totient is φ = 46774272.

The previous prime is 161528009. The next prime is 161528041. The reversal of 161528016 is 610825161.

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 15 ways as a sum of consecutive naturals, for example, 2995 + ... + 18221.

Almost surely, 2161528016 is an apocalyptic number.

161528016 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 161528016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237922272).

161528016 is an abundant number, since it is smaller than the sum of its proper divisors (314316528).

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

161528016 is a wasteful number, since it uses less digits than its factorization.

161528016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15268 (or 15262 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 161528016 is about 12709.3672541162. The cubic root of 161528016 is about 544.6062481495.

The spelling of 161528016 in words is "one hundred sixty-one million, five hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 15227 30454 45681 60908 91362 121816 182724 197951 243632 258859 365448 395902 517718 593853 730896 776577 791804 1035436 1187706 1553154 1583608 2070872 2375412 3106308 3167216 3365167 4141744 4750824 6212616 6730334 9501648 10095501 12425232 13460668 20191002 26921336 40382004 53842672 80764008 161528016