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115143120 = 243555923
BaseRepresentation
bin1101101110011…
…11000111010000
322000122212200000
412313033013100
5213434034440
615231530000
72565462141
oct667170720
9260585600
10115143120
1159aa4804
1232689900
131ab16331
1411413ac8
15a196730
hex6dcf1d0

115143120 has 120 divisors (see below), whose sum is σ = 401078496. Its totient is φ = 30699648.

The previous prime is 115143109. The next prime is 115143143. The reversal of 115143120 is 21341511.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 115143093 and 115143102.

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, 16479 + ... + 22401.

Almost surely, 2115143120 is an apocalyptic number.

115143120 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 115143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200539248).

115143120 is an abundant number, since it is smaller than the sum of its proper divisors (285935376).

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

115143120 is an equidigital number, since it uses as much as digits as its factorization.

115143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 115143120 is about 10730.4762242875. The cubic root of 115143120 is about 486.4960641358.

Adding to 115143120 its reverse (21341511), we get a palindrome (136484631).

The spelling of 115143120 in words is "one hundred fifteen million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 5923 6480 9720 11846 17769 19440 23692 29615 35538 47384 53307 59230 71076 88845 94768 106614 118460 142152 159921 177690 213228 236920 266535 284304 319842 355380 426456 473840 479763 533070 639684 710760 799605 852912 959526 1066140 1279368 1421520 1439289 1599210 1919052 2132280 2398815 2558736 2878578 3198420 3838104 4264560 4797630 5757156 6396840 7196445 7676208 9595260 11514312 12793680 14392890 19190520 23028624 28785780 38381040 57571560 115143120