[go: up one dir, main page]

Search a number
-
+
116440 = 2354171
BaseRepresentation
bin11100011011011000
312220201121
4130123120
512211230
62255024
7663322
oct343330
9186647
10116440
117a535
1257474
1340ccc
1430612
152477a
hex1c6d8

116440 has 32 divisors (see below), whose sum is σ = 272160. Its totient is φ = 44800.

The previous prime is 116437. The next prime is 116443. The reversal of 116440 is 44611.

Added to its reverse (44611) it gives a 5-th power (161051 = 115).

116440 = 812 + 822 + ... + 952.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116437) and next prime (116443).

It is a plaindrome in base 15.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1605 + ... + 1675.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2116440 is an apocalyptic number.

116440 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 116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

116440 is an abundant number, since it is smaller than the sum of its proper divisors (155720).

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

116440 is a wasteful number, since it uses less digits than its factorization.

116440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 116440 is about 341.2330581875. The cubic root of 116440 is about 48.8315750149.

Adding to 116440 its reverse (44611), we get a 5-th power (161051 = 115).

It can be divided in two parts, 116 and 440, that multiplied together give a triangular number (51040 = T319).

The spelling of 116440 in words is "one hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 71 82 142 164 205 284 328 355 410 568 710 820 1420 1640 2840 2911 5822 11644 14555 23288 29110 58220 116440