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114603800 = 23521737911
BaseRepresentation
bin1101101010010…
…11011100011000
321222122110212012
412311023130120
5213314310200
615212205052
72561054603
oct665133430
9258573765
10114603800
1159766593
1232469788
131a9879cc
141131333a
15a0dba35
hex6d4b718

114603800 has 96 divisors (see below), whose sum is σ = 290070720. Its totient is φ = 41932800.

The previous prime is 114603793. The next prime is 114603803. The reversal of 114603800 is 8306411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114603803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125345 + ... + 126255.

It is an arithmetic number, because the mean of its divisors is an integer number (3021570).

Almost surely, 2114603800 is an apocalyptic number.

114603800 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 114603800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145035360).

114603800 is an abundant number, since it is smaller than the sum of its proper divisors (175466920).

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

114603800 is a wasteful number, since it uses less digits than its factorization.

114603800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 114603800 is about 10705.3164362386. The cubic root of 114603800 is about 485.7353072134.

The spelling of 114603800 in words is "one hundred fourteen million, six hundred three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 37 40 50 68 74 85 100 136 148 170 185 200 296 340 370 425 629 680 740 850 911 925 1258 1480 1700 1822 1850 2516 3145 3400 3644 3700 4555 5032 6290 7288 7400 9110 12580 15487 15725 18220 22775 25160 30974 31450 33707 36440 45550 61948 62900 67414 77435 91100 123896 125800 134828 154870 168535 182200 269656 309740 337070 387175 573019 619480 674140 774350 842675 1146038 1348280 1548700 1685350 2292076 2865095 3097400 3370700 4584152 5730190 6741400 11460380 14325475 22920760 28650950 57301900 114603800