Search a number
-
+
125673912 = 233271319181
BaseRepresentation
bin1110111110110…
…10000110111000
322202110220012100
413133122012320
5224133031122
620245343400
73054132150
oct737320670
9282426170
10125673912
1164a37741
1236107b60
1320062680
1412995760
15b076aac
hex77da1b8

125673912 has 96 divisors (see below), whose sum is σ = 418934880. Its totient is φ = 33143040.

The previous prime is 125673893. The next prime is 125673917. The reversal of 125673912 is 219376521.

125673912 is a `hidden beast` number, since 1 + 2 + 567 + 3 + 91 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125673917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3039 + ... + 16142.

It is an arithmetic number, because the mean of its divisors is an integer number (4363905).

Almost surely, 2125673912 is an apocalyptic number.

125673912 is a gapful number since it is divisible by the number (12) 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 125673912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209467440).

125673912 is an abundant number, since it is smaller than the sum of its proper divisors (293260968).

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

125673912 is a wasteful number, since it uses less digits than its factorization.

125673912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19213 (or 19206 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 125673912 is about 11210.4376364172. The cubic root of 125673912 is about 500.8969393707.

It can be divided in two parts, 12 and 5673912, that added together give a square (5673924 = 23822).

The spelling of 125673912 in words is "one hundred twenty-five million, six hundred seventy-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 19181 38362 57543 76724 115086 134267 153448 172629 230172 249353 268534 345258 402801 460344 498706 537068 690516 748059 805602 997412 1074136 1208403 1381032 1496118 1611204 1745471 1994824 2244177 2416806 2992236 3222408 3490942 4488354 4833612 5236413 5984472 6981884 8976708 9667224 10472826 13963768 15709239 17953416 20945652 31418478 41891304 62836956 125673912