Search a number
-
+
681598134 = 232721989457
BaseRepresentation
bin101000101000000…
…101110010110110
31202111112202212100
4220220011302312
52343442120014
6151345002530
722614326400
oct5050056266
91674482770
10681598134
1131a820848
12170323446
13ab298509
1466747b70
153ec8a009
hex28a05cb6

681598134 has 144 divisors (see below), whose sum is σ = 1832641200. Its totient is φ = 182020608.

The previous prime is 681598129. The next prime is 681598139. The reversal of 681598134 is 431895186.

It is an interprime number because it is at equal distance from previous prime (681598129) and next prime (681598139).

It is a self number, because there is not a number n which added to its sum of digits gives 681598134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681598139) 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 71 ways as a sum of consecutive naturals, for example, 1491234 + ... + 1491690.

It is an arithmetic number, because the mean of its divisors is an integer number (12726675).

Almost surely, 2681598134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681598134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916320600).

681598134 is an abundant number, since it is smaller than the sum of its proper divisors (1151043066).

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

681598134 is a wasteful number, since it uses less digits than its factorization.

681598134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 577 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 681598134 is about 26107.4344584067. The cubic root of 681598134 is about 880.0542898669.

The spelling of 681598134 in words is "six hundred eighty-one million, five hundred ninety-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 89 98 114 126 133 147 171 178 266 267 294 342 399 441 457 534 623 798 801 882 914 931 1197 1246 1371 1602 1691 1862 1869 2394 2742 2793 3199 3382 3738 4113 4361 5073 5586 5607 6398 8226 8379 8683 8722 9597 10146 11214 11837 13083 15219 16758 17366 19194 22393 23674 26049 26166 28791 30438 35511 39249 40673 44786 52098 57582 60781 67179 71022 78147 78498 81346 82859 106533 121562 122019 134358 156294 165718 182343 201537 213066 244038 248577 284711 364686 366057 403074 425467 497154 547029 569422 732114 745731 772787 850934 854133 1094058 1276401 1491462 1545574 1708266 1992977 2318361 2552802 2562399 3829203 3985954 4636722 5124798 5409509 5978931 6955083 7658406 10819018 11957862 13910166 16228527 17936793 32457054 35873586 37866563 48685581 75733126 97371162 113599689 227199378 340799067 681598134