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77040117 = 32711195851
BaseRepresentation
bin1001001011110…
…00100111110101
312100222001011200
410211320213311
5124210240432
611351123113
71623554520
oct445704765
9170861150
1077040117
113a53a420
1221973499
1312c6508b
14a335bb7
156b6ba7c
hex49789f5

77040117 has 48 divisors (see below), whose sum is σ = 146065920. Its totient is φ = 37908000.

The previous prime is 77040113. The next prime is 77040127. The reversal of 77040117 is 71104077.

It is not a de Polignac number, because 77040117 - 22 = 77040113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77040113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10242 + ... + 16092.

It is an arithmetic number, because the mean of its divisors is an integer number (3043040).

Almost surely, 277040117 is an apocalyptic number.

77040117 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

77040117 is the 4389-th decagonal number.

It is an amenable number.

77040117 is a deficient number, since it is larger than the sum of its proper divisors (69025803).

77040117 is a wasteful number, since it uses less digits than its factorization.

77040117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5894 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 77040117 is about 8777.2499679569. The cubic root of 77040117 is about 425.5059570565.

The spelling of 77040117 in words is "seventy-seven million, forty thousand, one hundred seventeen".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 209 231 399 627 693 1197 1463 1881 4389 5851 13167 17553 40957 52659 64361 111169 122871 193083 333507 368613 450527 579249 778183 1000521 1222859 1351581 2334549 3668577 4054743 7003647 8560013 11005731 25680039 77040117