Search a number
-
+
960840 = 2332517157
BaseRepresentation
bin11101010100101001000
31210211000200
43222211020
5221221330
632332200
711111166
oct3524510
91724020
10960840
115a6991
123a4060
1327845a
141b0236
1513ea60
hexea948

960840 has 96 divisors (see below), whose sum is σ = 3327480. Its totient is φ = 239616.

The previous prime is 960833. The next prime is 960863. The reversal of 960840 is 48069.

960840 = T161 + T162 + ... + T214.

It can be written as a sum of positive squares in 4 ways, for example, as 799236 + 161604 = 894^2 + 402^2 .

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 960840.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6042 + ... + 6198.

2960840 is an apocalyptic number.

960840 is a gapful number since it is divisible by the number (90) 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 960840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663740).

960840 is an abundant number, since it is smaller than the sum of its proper divisors (2366640).

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

960840 is a wasteful number, since it uses less digits than its factorization.

960840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 960840 is about 980.2244640897. The cubic root of 960840 is about 98.6772470595.

The spelling of 960840 in words is "nine hundred sixty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 157 170 180 204 255 306 314 340 360 408 471 510 612 628 680 765 785 942 1020 1224 1256 1413 1530 1570 1884 2040 2355 2669 2826 3060 3140 3768 4710 5338 5652 6120 6280 7065 8007 9420 10676 11304 13345 14130 16014 18840 21352 24021 26690 28260 32028 40035 48042 53380 56520 64056 80070 96084 106760 120105 160140 192168 240210 320280 480420 960840