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114538200 = 23352727271
BaseRepresentation
bin1101101001110…
…11011011011000
321222112010212120
412310323123120
5213310210300
615210541240
72560362420
oct664733330
9258463776
10114538200
1159721277
1232437820
131a963baa
14112d7480
15a0c73a0
hex6d3b6d8

114538200 has 96 divisors (see below), whose sum is σ = 405807360. Its totient is φ = 26179200.

The previous prime is 114538187. The next prime is 114538217. The reversal of 114538200 is 2835411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9436 + ... + 17835.

It is an arithmetic number, because the mean of its divisors is an integer number (4227160).

Almost surely, 2114538200 is an apocalyptic number.

114538200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114538200 is an abundant number, since it is smaller than the sum of its proper divisors (291269160).

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

114538200 is a wasteful number, since it uses less digits than its factorization.

114538200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27297 (or 27288 counting only the distinct ones).

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

The square root of 114538200 is about 10702.2520994415. The cubic root of 114538200 is about 485.6426101189.

The spelling of 114538200 in words is "one hundred fourteen million, five hundred thirty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 27271 54542 81813 109084 136355 163626 190897 218168 272710 327252 381794 409065 545420 572691 654504 681775 763588 818130 954485 1090840 1145382 1363550 1527176 1636260 1908970 2045325 2290764 2727100 2863455 3272520 3817940 4090650 4581528 4772425 5454200 5726910 7635880 8181300 9544850 11453820 14317275 16362600 19089700 22907640 28634550 38179400 57269100 114538200