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75380430 = 235231071021
BaseRepresentation
bin1000111111000…
…11011011001110
312020211201111210
410133203123032
5123244133210
611251355250
71603503006
oct437433316
9166751453
1075380430
1139606484
12212b2b26
1312803808
14a023006
15693ee20
hex47e36ce

75380430 has 64 divisors (see below), whose sum is σ = 190729728. Its totient is φ = 19029120.

The previous prime is 75380401. The next prime is 75380443. The reversal of 75380430 is 3408357.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 73320 + ... + 74340.

It is an arithmetic number, because the mean of its divisors is an integer number (2980152).

Almost surely, 275380430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75380430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95364864).

75380430 is an abundant number, since it is smaller than the sum of its proper divisors (115349298).

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

75380430 is a wasteful number, since it uses less digits than its factorization.

75380430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 75380430 is about 8682.1903918309. The cubic root of 75380430 is about 422.4281684075.

Adding to 75380430 its reverse (3408357), we get a palindrome (78788787).

The spelling of 75380430 in words is "seventy-five million, three hundred eighty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 107 115 138 214 230 321 345 535 642 690 1021 1070 1605 2042 2461 3063 3210 4922 5105 6126 7383 10210 12305 14766 15315 23483 24610 30630 36915 46966 70449 73830 109247 117415 140898 218494 234830 327741 352245 546235 655482 704490 1092470 1638705 2512681 3277410 5025362 7538043 12563405 15076086 25126810 37690215 75380430