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125140180 = 225113159311
BaseRepresentation
bin1110111010101…
…11110011010100
322201110210001111
413131113303110
5224013441210
620230104404
73046450114
oct735276324
9281423044
10125140180
1164702740
1235aab104
131cc06759
1412897044
15aebd88a
hex7757cd4

125140180 has 96 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 43152000.

The previous prime is 125140163. The next prime is 125140181. The reversal of 125140180 is 81041521.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125140181) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 402225 + ... + 402535.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2125140180 is an apocalyptic number.

125140180 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 125140180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

125140180 is an abundant number, since it is smaller than the sum of its proper divisors (176775980).

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

125140180 is a wasteful number, since it uses less digits than its factorization.

125140180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 125140180 is about 11186.6071710774. The cubic root of 125140180 is about 500.1868368420.

The spelling of 125140180 in words is "one hundred twenty-five million, one hundred forty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 59 62 110 118 124 155 220 236 295 310 311 341 590 620 622 649 682 1180 1244 1298 1364 1555 1705 1829 2596 3110 3245 3410 3421 3658 6220 6490 6820 6842 7316 9145 9641 12980 13684 17105 18290 18349 19282 20119 34210 36580 36698 38564 40238 48205 68420 73396 80476 91745 96410 100595 106051 183490 192820 201190 201839 212102 366980 402380 403678 424204 530255 568819 807356 1009195 1060510 1137638 2018390 2121020 2275276 2844095 4036780 5688190 6257009 11376380 12514018 25028036 31285045 62570090 125140180