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76233240 = 23325367577
BaseRepresentation
bin1001000101100…
…11101000011000
312022110001100100
410202303220120
5124003430430
611321535400
71613654226
oct442635030
9168401310
1076233240
113a039186
1221644560
1312a41a35
14a1a5b16
156a5c960
hex48b3a18

76233240 has 96 divisors (see below), whose sum is σ = 248863680. Its totient is φ = 20238336.

The previous prime is 76233229. The next prime is 76233343. The reversal of 76233240 is 4233267.

76233240 is a `hidden beast` number, since 7 + 623 + 32 + 4 + 0 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 131832 + ... + 132408.

It is an arithmetic number, because the mean of its divisors is an integer number (2592330).

Almost surely, 276233240 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 76233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124431840).

76233240 is an abundant number, since it is smaller than the sum of its proper divisors (172630440).

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

76233240 is a wasteful number, since it uses less digits than its factorization.

76233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 76233240 is about 8731.1648707375. The cubic root of 76233240 is about 424.0152332251.

Adding to 76233240 its sum of digits (27), we get a palindrome (76233267).

The spelling of 76233240 in words is "seventy-six million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 367 577 734 1101 1154 1468 1731 1835 2202 2308 2885 2936 3303 3462 3670 4404 4616 5193 5505 5770 6606 6924 7340 8655 8808 10386 11010 11540 13212 13848 14680 16515 17310 20772 22020 23080 25965 26424 33030 34620 41544 44040 51930 66060 69240 103860 132120 207720 211759 423518 635277 847036 1058795 1270554 1694072 1905831 2117590 2541108 3176385 3811662 4235180 5082216 6352770 7623324 8470360 9529155 12705540 15246648 19058310 25411080 38116620 76233240