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76420530 = 2335349811
BaseRepresentation
bin1001000111000…
…01010110110010
312022210120021000
410203201112302
5124030424110
611325542430
71615364244
oct443412662
9168716230
1076420530
113a15696a
1221714a16
1312aa9064
14a214094
156a981c0
hex48e15b2

76420530 has 64 divisors (see below), whose sum is σ = 204624000. Its totient is φ = 20295360.

The previous prime is 76420529. The next prime is 76420573. The reversal of 76420530 is 3502467.

It is a happy number.

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 = 76420494 and 76420503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93825 + ... + 94635.

It is an arithmetic number, because the mean of its divisors is an integer number (3197250).

Almost surely, 276420530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76420530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102312000).

76420530 is an abundant number, since it is smaller than the sum of its proper divisors (128203470).

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

76420530 is a wasteful number, since it uses less digits than its factorization.

76420530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 76420530 is about 8741.8836642911. The cubic root of 76420530 is about 424.3621897801.

Adding to 76420530 its reverse (3502467), we get a palindrome (79922997).

The spelling of 76420530 in words is "seventy-six million, four hundred twenty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 349 698 811 1047 1622 1745 2094 2433 3141 3490 4055 4866 5235 6282 7299 8110 9423 10470 12165 14598 15705 18846 21897 24330 31410 36495 43794 47115 72990 94230 109485 218970 283039 566078 849117 1415195 1698234 2547351 2830390 4245585 5094702 7642053 8491170 12736755 15284106 25473510 38210265 76420530