Search a number
-
+
76134744 = 23327295209
BaseRepresentation
bin1001000100110…
…11100101011000
312022021001020100
410202123211120
5123442302434
611315455400
71613064120
oct442334530
9168231210
1076134744
1139a81184
12215b7560
1312a08c5a
14a17bc80
156a3d699
hex489b958

76134744 has 96 divisors (see below), whose sum is σ = 243828000. Its totient is φ = 20998656.

The previous prime is 76134739. The next prime is 76134763. The reversal of 76134744 is 44743167.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 76134699 and 76134708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12012 + ... + 17220.

It is an arithmetic number, because the mean of its divisors is an integer number (2539875).

Almost surely, 276134744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76134744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121914000).

76134744 is an abundant number, since it is smaller than the sum of its proper divisors (167693256).

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

76134744 is a wasteful number, since it uses less digits than its factorization.

76134744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257 (or 5250 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 76134744 is about 8725.5225631477. The cubic root of 76134744 is about 423.8325403731.

The spelling of 76134744 in words is "seventy-six million, one hundred thirty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 5209 7308 10418 14616 15627 20836 31254 36463 41672 46881 62508 72926 93762 109389 125016 145852 151061 187524 218778 291704 302122 328167 375048 437556 453183 604244 656334 875112 906366 1057427 1208488 1312668 1359549 1812732 2114854 2625336 2719098 3172281 3625464 4229708 5438196 6344562 8459416 9516843 10876392 12689124 19033686 25378248 38067372 76134744