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125780040 = 2334538821
BaseRepresentation
bin1110111111101…
…00000001001000
322202200021210000
413133310001020
5224144430130
620251523000
73055053441
oct737640110
9282607700
10125780040
1164aaa451
1236159460
132009ba79
14129c22c8
15b098260
hex77f4048

125780040 has 80 divisors (see below), whose sum is σ = 422771580. Its totient is φ = 33540480.

The previous prime is 125780033. The next prime is 125780041. The reversal of 125780040 is 40087521.

It can be written as a sum of positive squares in 2 ways, for example, as 125753796 + 26244 = 11214^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 125779986 and 125780013.

It is not an unprimeable number, because it can be changed into a prime (125780041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16171 + ... + 22650.

Almost surely, 2125780040 is an apocalyptic number.

125780040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125780040 is an abundant number, since it is smaller than the sum of its proper divisors (296991540).

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

125780040 is a wasteful number, since it uses less digits than its factorization.

125780040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38844 (or 38831 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 125780040 is about 11215.1700834183. The cubic root of 125780040 is about 501.0378973806.

The spelling of 125780040 in words is "one hundred twenty-five million, seven hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 38821 77642 116463 155284 194105 232926 310568 349389 388210 465852 582315 698778 776420 931704 1048167 1164630 1397556 1552840 1746945 2096334 2329260 2795112 3144501 3493890 4192668 4658520 5240835 6289002 6987780 8385336 10481670 12578004 13975560 15722505 20963340 25156008 31445010 41926680 62890020 125780040