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641160 = 2332513137
BaseRepresentation
bin10011100100010001000
31012120111200
42130202020
5131004120
621424200
75310162
oct2344210
91176450
10641160
113a8793
1226b060
13195ab0
14129932
15c9e90
hex9c888

641160 has 96 divisors (see below), whose sum is σ = 2260440. Its totient is φ = 156672.

The previous prime is 641143. The next prime is 641167. The reversal of 641160 is 61146.

It can be written as a sum of positive squares in 4 ways, for example, as 427716 + 213444 = 654^2 + 462^2 .

It is a super-2 number, since 2×6411602 = 822172291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 641160.

It is not an unprimeable number, because it can be changed into a prime (641167) by changing a digit.

641160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4612 + ... + 4748.

2641160 is an apocalyptic number.

641160 is a gapful number since it is divisible by the number (60) 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 641160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130220).

641160 is an abundant number, since it is smaller than the sum of its proper divisors (1619280).

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

641160 is a wasteful number, since it uses less digits than its factorization.

641160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 641160 is about 800.7246717818. The cubic root of 641160 is about 86.2294216817.

The spelling of 641160 in words is "six hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 137 156 180 195 234 260 274 312 360 390 411 468 520 548 585 685 780 822 936 1096 1170 1233 1370 1560 1644 1781 2055 2340 2466 2740 3288 3562 4110 4680 4932 5343 5480 6165 7124 8220 8905 9864 10686 12330 14248 16029 16440 17810 21372 24660 26715 32058 35620 42744 49320 53430 64116 71240 80145 106860 128232 160290 213720 320580 641160