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114528780 = 223254314797
BaseRepresentation
bin1101101001110…
…01001000001100
321222111122221200
412310321020030
5213304410110
615210425500
72560323102
oct664711014
9258448850
10114528780
1159715193
1232432290
131a95c812
14112d3c72
15a0c46c0
hex6d3920c

114528780 has 72 divisors (see below), whose sum is σ = 355507152. Its totient is φ = 29828736.

The previous prime is 114528763. The next prime is 114528793. The reversal of 114528780 is 87825411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342 + ... + 15138.

Almost surely, 2114528780 is an apocalyptic number.

114528780 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 114528780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177753576).

114528780 is an abundant number, since it is smaller than the sum of its proper divisors (240978372).

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

114528780 is a wasteful number, since it uses less digits than its factorization.

114528780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14855 (or 14850 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 114528780 is about 10701.8119961061. The cubic root of 114528780 is about 485.6292961363.

The spelling of 114528780 in words is "one hundred fourteen million, five hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 14797 29594 44391 59188 73985 88782 133173 147970 177564 221955 266346 295940 443910 532692 636271 665865 887820 1272542 1331730 1908813 2545084 2663460 3181355 3817626 5726439 6362710 7635252 9544065 11452878 12725420 19088130 22905756 28632195 38176260 57264390 114528780