Search a number
-
+
76000302 = 23371711827
BaseRepresentation
bin1001000011110…
…10110000101110
312022000012211000
410201322300232
5123424002202
611312541130
71611664140
oct441726056
9168005730
1076000302
113999a174
12215517a6
131298c9c1
14a144c90
156a1391c
hex487ac2e

76000302 has 64 divisors (see below), whose sum is σ = 204387840. Its totient is φ = 20435328.

The previous prime is 76000283. The next prime is 76000343. The reversal of 76000302 is 20300067.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 513 + ... + 12339.

It is an arithmetic number, because the mean of its divisors is an integer number (3193560).

Almost surely, 276000302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76000302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102193920).

76000302 is an abundant number, since it is smaller than the sum of its proper divisors (128387538).

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

76000302 is a wasteful number, since it uses less digits than its factorization.

76000302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11862 (or 11856 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 76000302 is about 8717.8152079520. The cubic root of 76000302 is about 423.5829194856.

Adding to 76000302 its reverse (20300067), we get a palindrome (96300369).

The spelling of 76000302 in words is "seventy-six million, three hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 11827 23654 35481 70962 82789 106443 165578 201059 212886 248367 319329 402118 496734 603177 638658 745101 1206354 1407413 1490202 1809531 2235303 2814826 3619062 4222239 4470606 5428593 8444478 10857186 12666717 25333434 38000151 76000302