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114382500 = 22354101151
BaseRepresentation
bin1101101000101…
…01011010100100
321222020020021220
412310111122210
5213240220000
615203340340
72556143451
oct664253244
9258206256
10114382500
11596252a1
12323816b0
131a90b06b
1411296828
15a0961a0
hex6d156a4

114382500 has 120 divisors (see below), whose sum is σ = 339041472. Its totient is φ = 30000000.

The previous prime is 114382481. The next prime is 114382501. The reversal of 114382500 is 5283411.

It is not an unprimeable number, because it can be changed into a prime (114382501) 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 39 ways as a sum of consecutive naturals, for example, 757425 + ... + 757575.

Almost surely, 2114382500 is an apocalyptic number.

114382500 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 114382500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169520736).

114382500 is an abundant number, since it is smaller than the sum of its proper divisors (224658972).

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

114382500 is a wasteful number, since it uses less digits than its factorization.

114382500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 114382500 is about 10694.9754557923. The cubic root of 114382500 is about 485.4224540398.

The spelling of 114382500 in words is "one hundred fourteen million, three hundred eighty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 125 150 151 202 250 300 302 303 375 404 453 500 505 604 606 625 750 755 906 1010 1212 1250 1500 1510 1515 1812 1875 2020 2265 2500 2525 3020 3030 3750 3775 4530 5050 6060 7500 7550 7575 9060 10100 11325 12625 15100 15150 15251 18875 22650 25250 30300 30502 37750 37875 45300 45753 50500 56625 61004 63125 75500 75750 76255 91506 94375 113250 126250 151500 152510 183012 188750 189375 226500 228765 252500 283125 305020 377500 378750 381275 457530 566250 757500 762550 915060 1132500 1143825 1525100 1906375 2287650 3812750 4575300 5719125 7625500 9531875 11438250 19063750 22876500 28595625 38127500 57191250 114382500