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125140120 = 235741303
BaseRepresentation
bin1110111010101…
…11110010011000
322201110202222021
413131113302120
5224013440440
620230104224
73046450000
oct735276230
9281422867
10125140120
1164702696
1235aab074
131cc06711
1412897000
15aebd84a
hex7757c98

125140120 has 80 divisors (see below), whose sum is σ = 328725360. Its totient is φ = 42872256.

The previous prime is 125140109. The next prime is 125140123. The reversal of 125140120 is 21041521.

It is a super-2 number, since 2×1251401202 = 31320099267228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125140094 and 125140103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125140123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95389 + ... + 96691.

It is an arithmetic number, because the mean of its divisors is an integer number (4109067).

Almost surely, 2125140120 is an apocalyptic number.

125140120 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 125140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164362680).

125140120 is an abundant number, since it is smaller than the sum of its proper divisors (203585240).

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

125140120 is an equidigital number, since it uses as much as digits as its factorization.

125140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 125140120 is about 11186.6044892988. The cubic root of 125140120 is about 500.1867569017.

Adding to 125140120 its reverse (21041521), we get a palindrome (146181641).

The spelling of 125140120 in words is "one hundred twenty-five million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1303 1372 1715 1960 2401 2606 2744 3430 4802 5212 6515 6860 9121 9604 10424 12005 13030 13720 18242 19208 24010 26060 36484 45605 48020 52120 63847 72968 91210 96040 127694 182420 255388 319235 364840 446929 510776 638470 893858 1276940 1787716 2234645 2553880 3128503 3575432 4469290 6257006 8938580 12514012 15642515 17877160 25028024 31285030 62570060 125140120