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125425200 = 24352127823
BaseRepresentation
bin1110111100111…
…01011000110000
322202000021000210
413132131120300
5224102101300
620240144120
73052045065
oct736353060
9282007023
10125425200
116488789a
1236008040
131cca63c4
141292cc6c
15b028050
hex779d630

125425200 has 120 divisors (see below), whose sum is σ = 405434368. Its totient is φ = 33143040.

The previous prime is 125425199. The next prime is 125425207. The reversal of 125425200 is 2524521.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (125425207) 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, 151989 + ... + 152811.

Almost surely, 2125425200 is an apocalyptic number.

125425200 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 125425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202717184).

125425200 is an abundant number, since it is smaller than the sum of its proper divisors (280009168).

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

125425200 is a wasteful number, since it uses less digits than its factorization.

125425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 125425200 is about 11199.3392662246. The cubic root of 125425200 is about 500.5662917186.

Adding to 125425200 its reverse (2524521), we get a palindrome (127949721).

The spelling of 125425200 in words is "one hundred twenty-five million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 127 150 200 240 254 300 381 400 508 600 635 762 823 1016 1200 1270 1524 1646 1905 2032 2469 2540 3048 3175 3292 3810 4115 4938 5080 6096 6350 6584 7620 8230 9525 9876 10160 12345 12700 13168 15240 16460 19050 19752 20575 24690 25400 30480 32920 38100 39504 41150 49380 50800 61725 65840 76200 82300 98760 104521 123450 152400 164600 197520 209042 246900 313563 329200 418084 493800 522605 627126 836168 987600 1045210 1254252 1567815 1672336 2090420 2508504 2613025 3135630 4180840 5017008 5226050 6271260 7839075 8361680 10452100 12542520 15678150 20904200 25085040 31356300 41808400 62712600 125425200