Search a number
-
+
161308128 = 2533167809
BaseRepresentation
bin10011001110101…
…01110111100000
3102020112022011010
421213111313200
5312243330003
624001220520
73666045042
oct1147256740
9366468133
10161308128
1183066203
1246031740
132755acc7
14175cda92
15e265003
hex99d5de0

161308128 has 96 divisors (see below), whose sum is σ = 444165120. Its totient is φ = 51194880.

The previous prime is 161308127. The next prime is 161308129. The reversal of 161308128 is 821803161.

It is an interprime number because it is at equal distance from previous prime (161308127) and next prime (161308129).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 161308095 and 161308104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161308127) 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, 198988 + ... + 199796.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2161308128 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 161308128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560).

161308128 is an abundant number, since it is smaller than the sum of its proper divisors (282856992).

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

161308128 is a wasteful number, since it uses less digits than its factorization.

161308128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 161308128 is about 12700.7136807346. The cubic root of 161308128 is about 544.3590118652.

The spelling of 161308128 in words is "one hundred sixty-one million, three hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 67 93 96 124 134 186 201 248 268 372 402 496 536 744 804 809 992 1072 1488 1608 1618 2077 2144 2427 2976 3216 3236 4154 4854 6231 6432 6472 8308 9708 12462 12944 16616 19416 24924 25079 25888 33232 38832 49848 50158 54203 66464 75237 77664 99696 100316 108406 150474 162609 199392 200632 216812 300948 325218 401264 433624 601896 650436 802528 867248 1203792 1300872 1680293 1734496 2407584 2601744 3360586 5040879 5203488 6721172 10081758 13442344 20163516 26884688 40327032 53769376 80654064 161308128