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114644500 = 2253376197
BaseRepresentation
bin1101101010101…
…01011000010100
321222201112200121
412311111120110
5213322111000
615213121324
72561314345
oct665253024
9258645617
10114644500
1159794123
1232489244
131a9a03a9
14113240cc
15a0e8b1a
hex6d55614

114644500 has 48 divisors (see below), whose sum is σ = 257192208. Its totient is φ = 44611200.

The previous prime is 114644473. The next prime is 114644507. The reversal of 114644500 is 5446411.

It can be written as a sum of positive squares in 8 ways, for example, as 20088324 + 94556176 = 4482^2 + 9724^2 .

It is a super-2 number, since 2×1146445002 = 26286722760500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114644507) 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 15 ways as a sum of consecutive naturals, for example, 15402 + ... + 21598.

It is an arithmetic number, because the mean of its divisors is an integer number (5358171).

Almost surely, 2114644500 is an apocalyptic number.

114644500 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 114644500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128596104).

114644500 is an abundant number, since it is smaller than the sum of its proper divisors (142547708).

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

114644500 is a wasteful number, since it uses less digits than its factorization.

114644500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 114644500 is about 10707.2171921560. The cubic root of 114644500 is about 485.7928011976.

The spelling of 114644500 in words is "one hundred fourteen million, six hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 740 925 1850 3700 4625 6197 9250 12394 18500 24788 30985 61970 123940 154925 229289 309850 458578 619700 774625 917156 1146445 1549250 2292890 3098500 4585780 5732225 11464450 22928900 28661125 57322250 114644500