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125340120 = 23325421827
BaseRepresentation
bin1110111100010…
…00100111011000
322201211221022200
413132020213120
5224041340440
620234250200
73051242043
oct736104730
9281757280
10125340120
1164829984
1235b86960
131cc76769
1412909c5a
15b00cc30
hex77889d8

125340120 has 96 divisors (see below), whose sum is σ = 408816720. Its totient is φ = 33304320.

The previous prime is 125340107. The next prime is 125340191. The reversal of 125340120 is 21043521.

125340120 is a `hidden beast` number, since 12 + 534 + 0 + 120 = 666.

It is a super-2 number, since 2×1253401202 = 31420291363228800, which contains 22 as substring.

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 = 125340093 and 125340102.

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, 151147 + ... + 151973.

Almost surely, 2125340120 is an apocalyptic number.

125340120 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 125340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204408360).

125340120 is an abundant number, since it is smaller than the sum of its proper divisors (283476600).

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

125340120 is a wasteful number, since it uses less digits than its factorization.

125340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 125340120 is about 11195.5401834838. The cubic root of 125340120 is about 500.4530826416.

Adding to 125340120 its reverse (21043521), we get a palindrome (146383641).

The spelling of 125340120 in words is "one hundred twenty-five million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 421 827 842 1263 1654 1684 2105 2481 2526 3308 3368 3789 4135 4210 4962 5052 6315 6616 7443 7578 8270 8420 9924 10104 12405 12630 14886 15156 16540 16840 18945 19848 24810 25260 29772 30312 33080 37215 37890 49620 50520 59544 74430 75780 99240 148860 151560 297720 348167 696334 1044501 1392668 1740835 2089002 2785336 3133503 3481670 4178004 5222505 6267006 6963340 8356008 10445010 12534012 13926680 15667515 20890020 25068024 31335030 41780040 62670060 125340120