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125006742 = 23272141731
BaseRepresentation
bin1110111001101…
…11001110010110
322201020000000100
413130313032112
5224000203432
620223154530
73045353100
oct734671626
9281200010
10125006742
1164621463
1235a45a46
131cb8aab3
1412860570
15ae9407c
hex7737396

125006742 has 36 divisors (see below), whose sum is σ = 315070236. Its totient is φ = 35715960.

The previous prime is 125006741. The next prime is 125006743. The reversal of 125006742 is 247600521.

It is an interprime number because it is at equal distance from previous prime (125006741) and next prime (125006743).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125006741) 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 17 ways as a sum of consecutive naturals, for example, 69984 + ... + 71747.

It is an arithmetic number, because the mean of its divisors is an integer number (8751951).

Almost surely, 2125006742 is an apocalyptic number.

125006742 is an abundant number, since it is smaller than the sum of its proper divisors (190063494).

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

125006742 is a wasteful number, since it uses less digits than its factorization.

125006742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141753 (or 141743 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 125006742 is about 11180.6413948396. The cubic root of 125006742 is about 500.0089891717.

The spelling of 125006742 in words is "one hundred twenty-five million, six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 141731 283462 425193 850386 992117 1275579 1984234 2551158 2976351 5952702 6944819 8929053 13889638 17858106 20834457 41668914 62503371 125006742