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84030777 = 342983431
BaseRepresentation
bin1010000001000…
…11010100111001
312212010012120000
411000203110321
5133002441102
612201023213
72040151455
oct500432471
9185105500
1084030777
1143484626
1224184b09
1314541c6c
14b235665
15759d01c
hex5023539

84030777 has 40 divisors (see below), whose sum is σ = 131725440. Its totient is φ = 53313120.

The previous prime is 84030773. The next prime is 84030781. The reversal of 84030777 is 77703048.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84030773) and next prime (84030781).

It is not a de Polignac number, because 84030777 - 22 = 84030773 is a prime.

It is a super-2 number, since 2×840307772 = 14122342966447458, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84030773) 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 39 ways as a sum of consecutive naturals, for example, 194752 + ... + 195182.

It is an arithmetic number, because the mean of its divisors is an integer number (3293136).

Almost surely, 284030777 is an apocalyptic number.

84030777 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

84030777 is a deficient number, since it is larger than the sum of its proper divisors (47694663).

84030777 is a wasteful number, since it uses less digits than its factorization.

84030777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 84030777 is about 9166.8302591463. The cubic root of 84030777 is about 438.0053949420.

The spelling of 84030777 in words is "eighty-four million, thirty thousand, seven hundred seventy-seven".

Divisors: 1 3 9 27 29 81 83 87 249 261 431 747 783 1293 2241 2349 2407 3879 6723 7221 11637 12499 21663 34911 35773 37497 64989 107319 112491 194967 321957 337473 965871 1012419 1037417 2897613 3112251 9336753 28010259 84030777