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77060137 = 7114672143
BaseRepresentation
bin1001001011111…
…01100000101001
312101000001122011
410211331200221
5124211411022
611351355521
71624000060
oct445754051
9171001564
1077060137
113a553470
1221982ba1
1312c7121b
14a33d1d7
156b72977
hex497d829

77060137 has 16 divisors (see below), whose sum is σ = 96325632. Its totient is φ = 59890320.

The previous prime is 77060131. The next prime is 77060149. The reversal of 77060137 is 73106077.

It is a happy number.

It is not a de Polignac number, because 77060137 - 23 = 77060129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77060099 and 77060108.

It is not an unprimeable number, because it can be changed into a prime (77060131) 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 15 ways as a sum of consecutive naturals, for example, 34888 + ... + 37030.

It is an arithmetic number, because the mean of its divisors is an integer number (6020352).

Almost surely, 277060137 is an apocalyptic number.

77060137 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

77060137 is a deficient number, since it is larger than the sum of its proper divisors (19265495).

77060137 is a wasteful number, since it uses less digits than its factorization.

77060137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628.

The product of its (nonzero) digits is 6174, while the sum is 31.

The square root of 77060137 is about 8778.3903421983. The cubic root of 77060137 is about 425.5428118442.

The spelling of 77060137 in words is "seventy-seven million, sixty thousand, one hundred thirty-seven".

Divisors: 1 7 11 77 467 2143 3269 5137 15001 23573 35959 165011 1000781 7005467 11008591 77060137