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114409500 = 2235389857
BaseRepresentation
bin1101101000111…
…00000000011100
321222021121022220
412310130000130
5213242101000
615204105340
72556315252
oct664340034
9258247286
10114409500
1159643607
1232395250
131a91a43a
14112a25d2
15a09e1a0
hex6d1c01c

114409500 has 96 divisors (see below), whose sum is σ = 337296960. Its totient is φ = 30131200.

The previous prime is 114409489. The next prime is 114409531. The reversal of 114409500 is 5904411.

It is a congruent number.

It is an unprimeable number.

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, 133072 + ... + 133928.

It is an arithmetic number, because the mean of its divisors is an integer number (3513510).

Almost surely, 2114409500 is an apocalyptic number.

114409500 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 114409500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168648480).

114409500 is an abundant number, since it is smaller than the sum of its proper divisors (222887460).

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

114409500 is a wasteful number, since it uses less digits than its factorization.

114409500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 114409500 is about 10696.2376562977. The cubic root of 114409500 is about 485.4606457070.

The spelling of 114409500 in words is "one hundred fourteen million, four hundred nine thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 125 150 178 250 267 300 356 375 445 500 534 750 857 890 1068 1335 1500 1714 1780 2225 2571 2670 3428 4285 4450 5142 5340 6675 8570 8900 10284 11125 12855 13350 17140 21425 22250 25710 26700 33375 42850 44500 51420 64275 66750 76273 85700 107125 128550 133500 152546 214250 228819 257100 305092 321375 381365 428500 457638 642750 762730 915276 1144095 1285500 1525460 1906825 2288190 3813650 4576380 5720475 7627300 9534125 11440950 19068250 22881900 28602375 38136500 57204750 114409500