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114803550 = 232521743349
BaseRepresentation
bin1101101011111…
…00001101011110
322000000121212100
412311330031132
5213342203200
615220345530
72562546141
oct665741536
9260017770
10114803550
1159892674
12325452a6
131aa278c4
1411366058
15a12ad00
hex6d7c35e

114803550 has 144 divisors (see below), whose sum is σ = 335134800. Its totient is φ = 28062720.

The previous prime is 114803543. The next prime is 114803573. The reversal of 114803550 is 55308411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 328776 + ... + 329124.

It is an arithmetic number, because the mean of its divisors is an integer number (2327325).

Almost surely, 2114803550 is an apocalyptic number.

114803550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114803550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167567400).

114803550 is an abundant number, since it is smaller than the sum of its proper divisors (220331250).

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

114803550 is a wasteful number, since it uses less digits than its factorization.

114803550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 114803550 is about 10714.6418512240. The cubic root of 114803550 is about 486.0173493781.

The spelling of 114803550 in words is "one hundred fourteen million, eight hundred three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 43 45 50 51 75 85 86 90 102 129 150 153 170 215 225 255 258 306 349 387 425 430 450 510 645 698 731 765 774 850 1047 1075 1275 1290 1462 1530 1745 1935 2094 2150 2193 2550 3141 3225 3490 3655 3825 3870 4386 5235 5933 6282 6450 6579 7310 7650 8725 9675 10470 10965 11866 13158 15007 15705 17450 17799 18275 19350 21930 26175 29665 30014 31410 32895 35598 36550 45021 52350 53397 54825 59330 65790 75035 78525 88995 90042 106794 109650 135063 148325 150070 157050 164475 177990 225105 255119 266985 270126 296650 328950 375175 444975 450210 510238 533970 675315 750350 765357 889950 1125525 1275595 1334925 1350630 1530714 2251050 2296071 2551190 2669850 3376575 3826785 4592142 6377975 6753150 7653570 11480355 12755950 19133925 22960710 38267850 57401775 114803550