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76056030 = 23351012789
BaseRepresentation
bin1001000100010…
…00010111011110
312022010001021000
410202020113132
5123432243110
611314051130
71612315461
oct442102736
9168101230
1076056030
1139a28026
1221579aa6
13129ac18b
14a15b2d8
156a251c0
hex48885de

76056030 has 64 divisors (see below), whose sum is σ = 204897600. Its totient is φ = 20073600.

The previous prime is 76055939. The next prime is 76056037. The reversal of 76056030 is 3065067.

76056030 is a `hidden beast` number, since 76 + 0 + 560 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 76055985 and 76056003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76056037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25876 + ... + 28664.

It is an arithmetic number, because the mean of its divisors is an integer number (3201525).

Almost surely, 276056030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76056030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102448800).

76056030 is an abundant number, since it is smaller than the sum of its proper divisors (128841570).

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

76056030 is a wasteful number, since it uses less digits than its factorization.

76056030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 76056030 is about 8721.0108359066. The cubic root of 76056030 is about 423.6864263622.

The spelling of 76056030 in words is "seventy-six million, fifty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1515 1818 2727 2789 3030 4545 5454 5578 8367 9090 13635 13945 16734 25101 27270 27890 41835 50202 75303 83670 125505 150606 251010 281689 376515 563378 753030 845067 1408445 1690134 2535201 2816890 4225335 5070402 7605603 8450670 12676005 15211206 25352010 38028015 76056030