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1670278068 = 22321943109521
BaseRepresentation
bin110001110001110…
…0110101110110100
311022101220220202200
41203203212232310
511410042344233
6433423504500
756251062234
oct14343465664
94271826680
101670278068
117879126a8
123a7458130
13208071024
1411bb89cc4
159b982313
hex638e6bb4

1670278068 has 144 divisors (see below), whose sum is σ = 4598193600. Its totient is φ = 509483520.

The previous prime is 1670278061. The next prime is 1670278073. The reversal of 1670278068 is 8608720761.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1670278061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3205648 + ... + 3206168.

It is an arithmetic number, because the mean of its divisors is an integer number (31931900).

Almost surely, 21670278068 is an apocalyptic number.

1670278068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1670278068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299096800).

1670278068 is an abundant number, since it is smaller than the sum of its proper divisors (2927915532).

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

1670278068 is a wasteful number, since it uses less digits than its factorization.

1670278068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1670278068 is about 40869.0355648381. The cubic root of 1670278068 is about 1186.4868416579.

The spelling of 1670278068 in words is "one billion, six hundred seventy million, two hundred seventy-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 109 114 129 171 172 218 228 258 327 342 387 436 516 521 654 684 774 817 981 1042 1308 1548 1563 1634 1962 2071 2084 2451 3126 3268 3924 4142 4687 4689 4902 6213 6252 7353 8284 9374 9378 9804 9899 12426 14061 14706 18639 18748 18756 19798 22403 24852 28122 29412 29697 37278 39596 42183 44806 56244 56789 59394 67209 74556 84366 89053 89091 89612 113578 118788 134418 168732 170367 178106 178182 201627 227156 267159 268836 340734 356212 356364 403254 425657 511101 534318 681468 801477 806508 851314 1022202 1068636 1078991 1276971 1602954 1702628 2044404 2157982 2441927 2553942 3205908 3236973 3830913 4315964 4883854 5107884 6473946 7325781 7661826 9710919 9767708 12947892 14651562 15323652 19421838 21977343 29303124 38843676 43954686 46396613 87909372 92793226 139189839 185586452 278379678 417569517 556759356 835139034 1670278068