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114363840 = 2635119129
BaseRepresentation
bin1101101000100…
…00110111000000
321222012021200210
412310100313000
5213234120330
615203114120
72556035163
oct664206700
9258167623
10114363840
1159612278
1232372940
131a902716
141128dada
15a0908b0
hex6d10dc0

114363840 has 56 divisors (see below), whose sum is σ = 363108240. Its totient is φ = 30496768.

The previous prime is 114363833. The next prime is 114363853. The reversal of 114363840 is 48363411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114363798 and 114363807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58605 + ... + 60524.

Almost surely, 2114363840 is an apocalyptic number.

114363840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114363840 is an abundant number, since it is smaller than the sum of its proper divisors (248744400).

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

114363840 is a wasteful number, since it uses less digits than its factorization.

114363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119149 (or 119139 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 114363840 is about 10694.1030479419. The cubic root of 114363840 is about 485.3960558419.

The spelling of 114363840 in words is "one hundred fourteen million, three hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 119129 238258 357387 476516 595645 714774 953032 1191290 1429548 1786935 1906064 2382580 2859096 3573870 3812128 4765160 5718192 7147740 7624256 9530320 11436384 14295480 19060640 22872768 28590960 38121280 57181920 114363840