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71744130 = 2345233851
BaseRepresentation
bin1000100011010…
…11101010000010
311222222222110000
410101223222002
5121331303010
611041420430
71530546363
oct421535202
9158888400
1071744130
1137552477
122003a716
1311b2c663
149757b6a
1564727c0
hex446ba82

71744130 has 80 divisors (see below), whose sum is σ = 201351744. Its totient is φ = 18295200.

The previous prime is 71744129. The next prime is 71744149. The reversal of 71744130 is 3144717.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 71744094 and 71744103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16705 + ... + 20555.

Almost surely, 271744130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71744130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100675872).

71744130 is an abundant number, since it is smaller than the sum of its proper divisors (129607614).

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

71744130 is a wasteful number, since it uses less digits than its factorization.

71744130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 71744130 is about 8470.1906708173. The cubic root of 71744130 is about 415.5233731590.

Adding to 71744130 its reverse (3144717), we get a palindrome (74888847).

The spelling of 71744130 in words is "seventy-one million, seven hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 621 690 810 1035 1242 1863 2070 3105 3726 3851 6210 7702 9315 11553 18630 19255 23106 34659 38510 57765 69318 88573 103977 115530 173295 177146 207954 265719 311931 346590 442865 519885 531438 623862 797157 885730 1039770 1328595 1559655 1594314 2391471 2657190 3119310 3985785 4782942 7174413 7971570 11957355 14348826 23914710 35872065 71744130