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114503400 = 233252115783
BaseRepresentation
bin1101101001100…
…10111011101000
321222110101010200
412310302323220
5213303102100
615210112200
72560156104
oct664627350
9258411120
10114503400
11596a8110
123241b660
131a9510bb
14112c8904
15a0bbe00
hex6d32ee8

114503400 has 144 divisors (see below), whose sum is σ = 419571360. Its totient is φ = 27753600.

The previous prime is 114503399. The next prime is 114503401. The reversal of 114503400 is 4305411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114503399) and next prime (114503401).

It is a super-2 number, since 2×1145034002 = 26222057223120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (114503401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16909 + ... + 22691.

It is an arithmetic number, because the mean of its divisors is an integer number (2913690).

Almost surely, 2114503400 is an apocalyptic number.

114503400 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 114503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209785680).

114503400 is an abundant number, since it is smaller than the sum of its proper divisors (305067960).

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

114503400 is a wasteful number, since it uses less digits than its factorization.

114503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5816 (or 5804 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114503400 is about 10700.6261499036. The cubic root of 114503400 is about 485.5934210718.

Adding to 114503400 its reverse (4305411), we get a palindrome (118808811).

The spelling of 114503400 in words is "one hundred fourteen million, five hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 5783 6600 9900 11566 17349 19800 23132 28915 34698 46264 52047 57830 63613 69396 86745 104094 115660 127226 138792 144575 173490 190839 208188 231320 254452 260235 289150 318065 346980 381678 416376 433725 508904 520470 572517 578300 636130 693960 763356 867450 954195 1040940 1145034 1156600 1272260 1301175 1526712 1590325 1734900 1908390 2081880 2290068 2544520 2602350 2862585 3180650 3469800 3816780 4580136 4770975 5204700 5725170 6361300 7633560 9541950 10409400 11450340 12722600 14312925 19083900 22900680 28625850 38167800 57251700 114503400