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3056977 = 71129372
BaseRepresentation
bin1011101010010101010001
312202022101101
423222111101
51240310402
6145304401
734661320
oct13522521
95668341
103056977
1117a8830
121035101
13830581
145980b7
15405b87
hex2ea551

3056977 has 24 divisors (see below), whose sum is σ = 4052160. Its totient is φ = 2237760.

The previous prime is 3056971. The next prime is 3056981. The reversal of 3056977 is 7796503.

3056977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3056977 - 23 = 3056969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a d-powerful number, because it can be written as 35 + 0 + 59 + 67 + 92 + 72 + 77 .

It is not an unprimeable number, because it can be changed into a prime (3056971) by changing a digit.

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, 82603 + ... + 82639.

It is an arithmetic number, because the mean of its divisors is an integer number (168840).

Almost surely, 23056977 is an apocalyptic number.

3056977 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3056977 is a deficient number, since it is larger than the sum of its proper divisors (995183).

3056977 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (3056976) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (121).

3056977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 37.

The square root of 3056977 is about 1748.4212879052. The cubic root of 3056977 is about 145.1322930567.

3056977 divided by its sum of digits (37) gives a triangular number (82621 = T406).

The spelling of 3056977 in words is "three million, fifty-six thousand, nine hundred seventy-seven".

Divisors: 1 7 11 29 37 77 203 259 319 407 1073 1369 2233 2849 7511 9583 11803 15059 39701 82621 105413 277907 436711 3056977