Search a number
-
+
75146106 = 23722311113
BaseRepresentation
bin1000111101010…
…10001101111010
312020101211002010
410132222031322
5123214133411
611242350350
71601505600
oct436521572
9166354063
1075146106
1139466422
12211bb3b6
1312750c69
149da1870
1568e57a6
hex47aa37a

75146106 has 48 divisors (see below), whose sum is σ = 182447424. Its totient is φ = 20534976.

The previous prime is 75146101. The next prime is 75146107. The reversal of 75146106 is 60164157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75146101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206 + ... + 12318.

It is an arithmetic number, because the mean of its divisors is an integer number (3800988).

Almost surely, 275146106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75146106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91223712).

75146106 is an abundant number, since it is smaller than the sum of its proper divisors (107301318).

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

75146106 is a wasteful number, since it uses less digits than its factorization.

75146106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11155 (or 11148 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 75146106 is about 8668.6853674591. The cubic root of 75146106 is about 421.9900007364.

The spelling of 75146106 in words is "seventy-five million, one hundred forty-six thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 483 966 1127 2254 3381 6762 11113 22226 33339 66678 77791 155582 233373 255599 466746 511198 544537 766797 1089074 1533594 1633611 1789193 3267222 3578386 5367579 10735158 12524351 25048702 37573053 75146106