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75071220 = 22357473803
BaseRepresentation
bin1000111100101…
…11111011110100
312020021000100120
410132113323310
5123204234340
611241011540
71601044350
oct436277364
9166230316
1075071220
1139415134
1221183bb0
1312725b53
149d82460
1568cd4d0
hex4797ef4

75071220 has 96 divisors (see below), whose sum is σ = 245403648. Its totient is φ = 16789632.

The previous prime is 75071219. The next prime is 75071221. The reversal of 75071220 is 2217057.

It is an interprime number because it is at equal distance from previous prime (75071219) and next prime (75071221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75071221) 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 31 ways as a sum of consecutive naturals, for example, 17839 + ... + 21641.

It is an arithmetic number, because the mean of its divisors is an integer number (2556288).

Almost surely, 275071220 is an apocalyptic number.

75071220 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75071220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122701824).

75071220 is an abundant number, since it is smaller than the sum of its proper divisors (170332428).

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

75071220 is a wasteful number, since it uses less digits than its factorization.

75071220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 75071220 is about 8664.3649507624. The cubic root of 75071220 is about 421.8497776965.

Adding to 75071220 its reverse (2217057), we get a palindrome (77288277).

The spelling of 75071220 in words is "seventy-five million, seventy-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3803 3948 4935 6580 7606 9870 11409 15212 19015 19740 22818 26621 38030 45636 53242 57045 76060 79863 106484 114090 133105 159726 178741 228180 266210 319452 357482 399315 532420 536223 714964 798630 893705 1072446 1251187 1597260 1787410 2144892 2502374 2681115 3574820 3753561 5004748 5362230 6255935 7507122 10724460 12511870 15014244 18767805 25023740 37535610 75071220