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125007540 = 22357367811
BaseRepresentation
bin1110111001101…
…11011010110100
322201020001002220
413130313122310
5224000220130
620223202340
73045355320
oct734673264
9281201086
10125007540
1164622019
1235a463b0
131cb8b278
1412860980
15ae94410
hex77376b4

125007540 has 96 divisors (see below), whose sum is σ = 401608704. Its totient is φ = 28460160.

The previous prime is 125007539. The next prime is 125007541. The reversal of 125007540 is 45700521.

It is an interprime number because it is at equal distance from previous prime (125007539) and next prime (125007541).

It is a self number, because there is not a number n which added to its sum of digits gives 125007540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125007541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153735 + ... + 154545.

It is an arithmetic number, because the mean of its divisors is an integer number (4183424).

Almost surely, 2125007540 is an apocalyptic number.

125007540 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 125007540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200804352).

125007540 is an abundant number, since it is smaller than the sum of its proper divisors (276601164).

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

125007540 is a wasteful number, since it uses less digits than its factorization.

125007540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 125007540 is about 11180.6770814651. The cubic root of 125007540 is about 500.0100531312.

The spelling of 125007540 in words is "one hundred twenty-five million, seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 367 420 734 811 1101 1468 1622 1835 2202 2433 2569 3244 3670 4055 4404 4866 5138 5505 5677 7340 7707 8110 9732 10276 11010 11354 12165 12845 15414 16220 17031 22020 22708 24330 25690 28385 30828 34062 38535 48660 51380 56770 68124 77070 85155 113540 154140 170310 297637 340620 595274 892911 1190548 1488185 1785822 2083459 2976370 3571644 4166918 4464555 5952740 6250377 8333836 8929110 10417295 12500754 17858220 20834590 25001508 31251885 41669180 62503770 125007540