Search a number
-
+
116088560 = 2457207301
BaseRepresentation
bin1101110101101…
…01111011110000
322002102220120022
412322311323300
5214204313220
615304103012
72606510420
oct672657360
9262386508
10116088560
115a590065
1232a64a68
131b087773
14115bc480
15a2d1925
hex6eb5ef0

116088560 has 40 divisors (see below), whose sum is σ = 308465376. Its totient is φ = 39801600.

The previous prime is 116088517. The next prime is 116088569. The reversal of 116088560 is 65880611.

116088560 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 116088560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116088569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103091 + ... + 104210.

Almost surely, 2116088560 is an apocalyptic number.

116088560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116088560 is an abundant number, since it is smaller than the sum of its proper divisors (192376816).

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

116088560 is a wasteful number, since it uses less digits than its factorization.

116088560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207321 (or 207315 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 116088560 is about 10774.4401246654. The cubic root of 116088560 is about 487.8239757515.

The spelling of 116088560 in words is "one hundred sixteen million, eighty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 207301 414602 829204 1036505 1451107 1658408 2073010 2902214 3316816 4146020 5804428 7255535 8292040 11608856 14511070 16584080 23217712 29022140 58044280 116088560