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75013050 = 23527199359
BaseRepresentation
bin1000111100010…
…01101110111010
312020011001120010
410132021232322
5123200404200
611235442350
71600412640
oct436115672
9166131503
1075013050
1139385462
12211563b6
1312705528
149d69190
1568bb150
hex4789bba

75013050 has 96 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 17012160.

The previous prime is 75013039. The next prime is 75013079. The reversal of 75013050 is 5031057.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208771 + ... + 209129.

It is an arithmetic number, because the mean of its divisors is an integer number (2232000).

Almost surely, 275013050 is an apocalyptic number.

75013050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75013050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

75013050 is an abundant number, since it is smaller than the sum of its proper divisors (139258950).

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

75013050 is a wasteful number, since it uses less digits than its factorization.

75013050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 75013050 is about 8661.0074471738. The cubic root of 75013050 is about 421.7407907797.

The spelling of 75013050 in words is "seventy-five million, thirteen thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 199 210 350 359 398 525 597 718 995 1050 1077 1194 1393 1795 1990 2154 2513 2786 2985 3590 4179 4975 5026 5385 5970 6965 7539 8358 8975 9950 10770 12565 13930 14925 15078 17950 20895 25130 26925 29850 34825 37695 41790 53850 62825 69650 71441 75390 104475 125650 142882 188475 208950 214323 357205 376950 428646 500087 714410 1000174 1071615 1500261 1786025 2143230 2500435 3000522 3572050 5000870 5358075 7501305 10716150 12502175 15002610 25004350 37506525 75013050