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114820500 = 22353411867
BaseRepresentation
bin1101101100000…
…00010110010100
322000001111010010
412312000112110
5213343224000
615221000220
72562646434
oct666002624
9260044103
10114820500
11598a4383
1232553070
131aa32532
141136c2c4
15a130d50
hex6d80594

114820500 has 96 divisors (see below), whose sum is σ = 342695808. Its totient is φ = 29856000.

The previous prime is 114820481. The next prime is 114820501. The reversal of 114820500 is 5028411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114820501) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 60567 + ... + 62433.

It is an arithmetic number, because the mean of its divisors is an integer number (3569748).

Almost surely, 2114820500 is an apocalyptic number.

114820500 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 114820500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171347904).

114820500 is an abundant number, since it is smaller than the sum of its proper divisors (227875308).

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

114820500 is a wasteful number, since it uses less digits than its factorization.

114820500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 114820500 is about 10715.4327957391. The cubic root of 114820500 is about 486.0412673048.

Adding to 114820500 its reverse (5028411), we get a palindrome (119848911).

The spelling of 114820500 in words is "one hundred fourteen million, eight hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 125 150 164 205 246 250 300 375 410 492 500 615 750 820 1025 1230 1500 1867 2050 2460 3075 3734 4100 5125 5601 6150 7468 9335 10250 11202 12300 15375 18670 20500 22404 28005 30750 37340 46675 56010 61500 76547 93350 112020 140025 153094 186700 229641 233375 280050 306188 382735 459282 466750 560100 700125 765470 918564 933500 1148205 1400250 1530940 1913675 2296410 2800500 3827350 4592820 5741025 7654700 9568375 11482050 19136750 22964100 28705125 38273500 57410250 114820500