Search a number
-
+
685114038 = 23472983251
BaseRepresentation
bin101000110101100…
…000001010110110
31202202011101210000
4220311200022312
52400342122123
6151552212130
722656242010
oct5065401266
91682141700
10685114038
11321802354
1217153a046
13abc2992b
1466dc11b0
1540231b43
hex28d602b6

685114038 has 160 divisors (see below), whose sum is σ = 1844156160. Its totient is φ = 185976000.

The previous prime is 685114021. The next prime is 685114039. The reversal of 685114038 is 830411586.

It is a junction number, because it is equal to n+sod(n) for n = 685113993 and 685114011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685114039) 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 79 ways as a sum of consecutive naturals, for example, 2729413 + ... + 2729663.

It is an arithmetic number, because the mean of its divisors is an integer number (11525976).

Almost surely, 2685114038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685114038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922078080).

685114038 is an abundant number, since it is smaller than the sum of its proper divisors (1159042122).

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

685114038 is a wasteful number, since it uses less digits than its factorization.

685114038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 685114038 is about 26174.6831499447. The cubic root of 685114038 is about 881.5648971520.

The spelling of 685114038 in words is "six hundred eighty-five million, one hundred fourteen thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 83 87 126 162 166 174 189 203 249 251 261 378 406 498 502 522 567 581 609 747 753 783 1134 1162 1218 1494 1506 1566 1743 1757 1827 2241 2259 2349 2407 3486 3514 3654 4482 4518 4698 4814 5229 5271 5481 6723 6777 7221 7279 10458 10542 10962 13446 13554 14442 14558 15687 15813 16443 16849 20331 20833 21663 21837 31374 31626 32886 33698 40662 41666 43326 43674 47061 47439 50547 50953 62499 64989 65511 94122 94878 101094 101906 124998 129978 131022 142317 145831 151641 152859 187497 194967 196533 284634 291662 303282 305718 374994 389934 393066 437493 454923 458577 562491 589599 604157 874986 909846 917154 1124982 1179198 1208314 1312479 1364769 1375731 1687473 1812471 2624958 2729538 2751462 3374946 3624942 3937437 4127193 4229099 5437413 7874874 8254386 8458198 10874826 11812311 12687297 16312239 23624622 25374594 32624478 38061891 48936717 76123782 97873434 114185673 228371346 342557019 685114038