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114542928 = 24323072591
BaseRepresentation
bin1101101001111…
…00100101010000
321222112101100200
412310330211100
5213310333203
615211015200
72560412253
oct664744520
9258471320
10114542928
1159724885
123243a500
131a9660a6
14112d909a
15a0c89a3
hex6d3c950

114542928 has 60 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 38041920.

The previous prime is 114542917. The next prime is 114542929. The reversal of 114542928 is 829245411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114542892 and 114542901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114542929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42913 + ... + 45503.

Almost surely, 2114542928 is an apocalyptic number.

114542928 is a gapful number since it is divisible by the number (18) 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 114542928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

114542928 is an abundant number, since it is smaller than the sum of its proper divisors (207186480).

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

114542928 is a wasteful number, since it uses less digits than its factorization.

114542928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2903 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 114542928 is about 10702.4729852497. The cubic root of 114542928 is about 485.6492922758.

The spelling of 114542928 in words is "one hundred fourteen million, five hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 1228 1842 2456 2591 2763 3684 4912 5182 5526 7368 7773 10364 11052 14736 15546 20728 22104 23319 31092 41456 44208 46638 62184 93276 124368 186552 373104 795437 1590874 2386311 3181748 4772622 6363496 7158933 9545244 12726992 14317866 19090488 28635732 38180976 57271464 114542928