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75250770 = 2357371103
BaseRepresentation
bin1000111110000…
…11110001010010
312020121010122120
410133003301102
5123231011040
611244515110
71602423000
oct437036122
9166533576
1075250770
1139528021
122124ba96
13127897aa
149dcba70
1569167d0
hex47c3c52

75250770 has 128 divisors (see below), whose sum is σ = 215654400. Its totient is φ = 16793280.

The previous prime is 75250751. The next prime is 75250771. The reversal of 75250770 is 7705257.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75250771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 730539 + ... + 730641.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 275250770 is an apocalyptic number.

75250770 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 75250770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107827200).

75250770 is an abundant number, since it is smaller than the sum of its proper divisors (140403630).

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

75250770 is a wasteful number, since it uses less digits than its factorization.

75250770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 33.

The square root of 75250770 is about 8674.7201683974. The cubic root of 75250770 is about 422.1858266822.

The spelling of 75250770 in words is "seventy-five million, two hundred fifty thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 71 98 103 105 142 147 206 210 213 245 294 309 343 355 426 490 497 515 618 686 710 721 735 994 1029 1030 1065 1442 1470 1491 1545 1715 2058 2130 2163 2485 2982 3090 3430 3479 3605 4326 4970 5047 5145 6958 7210 7313 7455 10094 10290 10437 10815 14626 14910 15141 17395 20874 21630 21939 24353 25235 30282 34790 35329 36565 43878 48706 50470 51191 52185 70658 73059 73130 75705 102382 104370 105987 109695 121765 146118 151410 153573 176645 211974 219390 243530 255955 307146 353290 358337 365295 511910 529935 716674 730590 767865 1059870 1075011 1535730 1791685 2150022 2508359 3583370 5016718 5375055 7525077 10750110 12541795 15050154 25083590 37625385 75250770