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75113124 = 22323318779
BaseRepresentation
bin1000111101000…
…10001010100100
312020100010211120
410132202022210
5123212104444
611241533540
71601310462
oct436421244
9166303746
1075113124
1139443669
12211a42b0
131273bc48
149d93832
1568dab19
hex47a22a4

75113124 has 48 divisors (see below), whose sum is σ = 188805120. Its totient is φ = 23173920.

The previous prime is 75113119. The next prime is 75113141. The reversal of 75113124 is 42131157.

It is a junction number, because it is equal to n+sod(n) for n = 75113094 and 75113103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4167 + ... + 12945.

It is an arithmetic number, because the mean of its divisors is an integer number (3933440).

Almost surely, 275113124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75113124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94402560).

75113124 is an abundant number, since it is smaller than the sum of its proper divisors (113691996).

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

75113124 is a wasteful number, since it uses less digits than its factorization.

75113124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8840 (or 8838 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 75113124 is about 8666.7827940938. The cubic root of 75113124 is about 421.9282538645.

The spelling of 75113124 in words is "seventy-five million, one hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2852 4278 8556 8779 17558 26337 35116 52674 105348 201917 272149 403834 544298 605751 807668 816447 1088596 1211502 1632894 2423004 3265788 6259427 12518854 18778281 25037708 37556562 75113124