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677899134 = 2321131179617
BaseRepresentation
bin101000011001111…
…110101101111110
31202020120211210100
4220121332231332
52342020233014
6151133421530
722541022213
oct5031765576
91666524710
10677899134
11318724720
1216b03a8a6
13aa5a1963
1466063b0a
153e7a9009
hex2867eb7e

677899134 has 96 divisors (see below), whose sum is σ = 1665930240. Its totient is φ = 197366400.

The previous prime is 677899133. The next prime is 677899139. The reversal of 677899134 is 431998776.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677899133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1098394 + ... + 1099010.

It is an arithmetic number, because the mean of its divisors is an integer number (17353440).

Almost surely, 2677899134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677899134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832965120).

677899134 is an abundant number, since it is smaller than the sum of its proper divisors (988031106).

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

677899134 is a wasteful number, since it uses less digits than its factorization.

677899134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 843 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 677899134 is about 26036.4961928444. The cubic root of 677899134 is about 878.4593972670.

It can be divided in two parts, 677 and 899134, that added together give a triangular number (899811 = T1341).

The spelling of 677899134 in words is "six hundred seventy-seven million, eight hundred ninety-nine thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 179 186 198 279 341 358 537 558 617 682 1023 1074 1234 1611 1851 1969 2046 3069 3222 3702 3938 5549 5553 5907 6138 6787 11098 11106 11814 13574 16647 17721 19127 20361 33294 35442 38254 40722 49941 57381 61039 61083 99882 110443 114762 122078 122166 172143 183117 210397 220886 331329 344286 366234 420794 549351 631191 662658 993987 1098702 1214873 1262382 1893573 1987974 2429746 3423733 3644619 3787146 6847466 7289238 10271199 10933857 20542398 21867714 30813597 37661063 61627194 75322126 112983189 225966378 338949567 677899134