Search a number
-
+
116188140 = 223537199263
BaseRepresentation
bin1101110110011…
…10001111101100
322002121222011110
412323032033230
5214221010030
615310152020
72610403635
oct673161754
9262558143
10116188140
115a648962
1232ab2610
131b0c0ba3
141160688c
15a3011b0
hex6ece3ec

116188140 has 96 divisors (see below), whose sum is σ = 337075200. Its totient is φ = 29880576.

The previous prime is 116188099. The next prime is 116188201. The reversal of 116188140 is 41881611.

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 = 116188098 and 116188107.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 441649 + ... + 441911.

It is an arithmetic number, because the mean of its divisors is an integer number (3511200).

Almost surely, 2116188140 is an apocalyptic number.

116188140 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 116188140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537600).

116188140 is an abundant number, since it is smaller than the sum of its proper divisors (220887060).

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

116188140 is a wasteful number, since it uses less digits than its factorization.

116188140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 116188140 is about 10779.0602558850. The cubic root of 116188140 is about 487.9634199491.

The spelling of 116188140 in words is "one hundred sixteen million, one hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 199 222 263 370 398 444 526 555 597 740 789 796 995 1052 1110 1194 1315 1578 1990 2220 2388 2630 2985 3156 3945 3980 5260 5970 7363 7890 9731 11940 14726 15780 19462 22089 29193 29452 36815 38924 44178 48655 52337 58386 73630 88356 97310 104674 110445 116772 145965 147260 157011 194620 209348 220890 261685 291930 314022 441780 523370 583860 628044 785055 1046740 1570110 1936469 3140220 3872938 5809407 7745876 9682345 11618814 19364690 23237628 29047035 38729380 58094070 116188140