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116242400 = 2552145303
BaseRepresentation
bin1101110110110…
…11011111100000
322002201201121002
412323123133200
5214224224100
615311251132
72611021061
oct673333740
9262651532
10116242400
115a6856aa
1232b19aa8
131b10c7b1
141161c568
15a3122d5
hex6edb7e0

116242400 has 36 divisors (see below), whose sum is σ = 283778712. Its totient is φ = 46496640.

The previous prime is 116242397. The next prime is 116242403. The reversal of 116242400 is 4242611.

It is an interprime number because it is at equal distance from previous prime (116242397) and next prime (116242403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116242403) 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 5 ways as a sum of consecutive naturals, for example, 71852 + ... + 73451.

It is an arithmetic number, because the mean of its divisors is an integer number (7882742).

Almost surely, 2116242400 is an apocalyptic number.

116242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116242400 is an abundant number, since it is smaller than the sum of its proper divisors (167536312).

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

116242400 is a wasteful number, since it uses less digits than its factorization.

116242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145323 (or 145310 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 116242400 is about 10781.5768791026. The cubic root of 116242400 is about 488.0393679608.

The spelling of 116242400 in words is "one hundred sixteen million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 145303 290606 581212 726515 1162424 1453030 2324848 2906060 3632575 4649696 5812120 7265150 11624240 14530300 23248480 29060600 58121200 116242400