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125430240 = 25351320101
BaseRepresentation
bin1110111100111…
…10100111100000
322202000111221110
413132132213200
5224102231430
620240223320
73052065555
oct736364740
9282014843
10125430240
1164890661
123600ab40
131cca87a0
1412930a2c
15b0297b0
hex779e9e0

125430240 has 96 divisors (see below), whose sum is σ = 425519136. Its totient is φ = 30873600.

The previous prime is 125430209. The next prime is 125430241. The reversal of 125430240 is 42034521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125430241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3811 + ... + 16290.

It is an arithmetic number, because the mean of its divisors is an integer number (4432491).

Almost surely, 2125430240 is an apocalyptic number.

125430240 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 125430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212759568).

125430240 is an abundant number, since it is smaller than the sum of its proper divisors (300088896).

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

125430240 is a wasteful number, since it uses less digits than its factorization.

125430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20132 (or 20124 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 125430240 is about 11199.5642772386. The cubic root of 125430240 is about 500.5729964327.

Adding to 125430240 its reverse (42034521), we get a palindrome (167464761).

The spelling of 125430240 in words is "one hundred twenty-five million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 20101 40202 60303 80404 100505 120606 160808 201010 241212 261313 301515 321616 402020 482424 522626 603030 643232 783939 804040 964848 1045252 1206060 1306565 1567878 1608080 1929696 2090504 2412120 2613130 3135756 3216160 3919695 4181008 4824240 5226260 6271512 7839390 8362016 9648480 10452520 12543024 15678780 20905040 25086048 31357560 41810080 62715120 125430240