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76221630 = 2325978731
BaseRepresentation
bin1001000101100…
…00110010111110
312022102110102100
410202300302332
5124003043010
611321405530
71613605332
oct442606276
9168373370
1076221630
113a030491
12216398a6
1312a39674
14a1a17c2
156a592c0
hex48b0cbe

76221630 has 48 divisors (see below), whose sum is σ = 200242224. Its totient is φ = 20113920.

The previous prime is 76221619. The next prime is 76221631. The reversal of 76221630 is 3612267.

It is a happy number.

76221630 is a `hidden beast` number, since 7 + 6 + 2 + 21 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76221594 and 76221603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76221631) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4365 + ... + 13095.

It is an arithmetic number, because the mean of its divisors is an integer number (4171713).

Almost surely, 276221630 is an apocalyptic number.

It is a pronic number, being equal to 8730×8731.

It is a practical number, because each smaller number is the sum of distinct divisors of 76221630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100121112).

76221630 is an abundant number, since it is smaller than the sum of its proper divisors (124020594).

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

76221630 is a wasteful number, since it uses less digits than its factorization.

76221630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 76221630 is about 8730.4999856824. The cubic root of 76221630 is about 423.9937068901.

Adding to 76221630 its reverse (3612267), we get a palindrome (79833897).

The spelling of 76221630 in words is "seventy-six million, two hundred twenty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 4365 8730 8731 17462 26193 43655 52386 78579 87310 130965 157158 261930 392895 785790 846907 1693814 2540721 4234535 5081442 7622163 8469070 12703605 15244326 25407210 38110815 76221630