Search a number
-
+
161057520 = 243251317207
BaseRepresentation
bin10011001100110…
…00101011110000
3102020001120101100
421212120223300
5312212320040
623552004400
73663652311
oct1146305360
9366046340
10161057520
1182a04998
1245b30700
13274a0c10
1417566608
15e215b30
hex9998af0

161057520 has 120 divisors (see below), whose sum is σ = 582525216. Its totient is φ = 39642624.

The previous prime is 161057497. The next prime is 161057521. The reversal of 161057520 is 25750161.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161057521) 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 23 ways as a sum of consecutive naturals, for example, 757 + ... + 17963.

Almost surely, 2161057520 is an apocalyptic number.

161057520 is a gapful number since it is divisible by the number (10) 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 161057520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291262608).

161057520 is an abundant number, since it is smaller than the sum of its proper divisors (421467696).

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

161057520 is a wasteful number, since it uses less digits than its factorization.

161057520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17239 (or 17230 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 161057520 is about 12690.8439435681. The cubic root of 161057520 is about 544.0769607092.

The spelling of 161057520 in words is "one hundred sixty-one million, fifty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 17207 34414 51621 68828 86035 103242 137656 154863 172070 206484 223691 258105 275312 309726 344140 412968 447382 516210 619452 671073 688280 774315 825936 894764 1032420 1118455 1238904 1342146 1376560 1548630 1789528 2013219 2064840 2236910 2477808 2684292 3097260 3355365 3579056 4026438 4129680 4473820 5368584 6194520 6710730 8052876 8947640 10066095 10737168 12389040 13421460 16105752 17895280 20132190 26842920 32211504 40264380 53685840 80528760 161057520