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673647066 = 232175373569
BaseRepresentation
bin101000001001110…
…000100111011010
31201221120211001100
4220021300213122
52334423201231
6150502332230
722456622421
oct5011604732
91657524040
10673647066
11316290014
1216972a076
13a9743441
14656782b8
153e2191e6
hex282709da

673647066 has 96 divisors (see below), whose sum is σ = 1598959440. Its totient is φ = 204152832.

The previous prime is 673647059. The next prime is 673647101. The reversal of 673647066 is 660746376.

It can be written as a sum of positive squares in 8 ways, for example, as 411887025 + 261760041 = 20295^2 + 16179^2 .

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1183630 + ... + 1184198.

Almost surely, 2673647066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673647066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799479720).

673647066 is an abundant number, since it is smaller than the sum of its proper divisors (925312374).

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

673647066 is a wasteful number, since it uses less digits than its factorization.

673647066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 673647066 is about 25954.7118265644. The cubic root of 673647066 is about 876.6188549411.

The spelling of 673647066 in words is "six hundred seventy-three million, six hundred forty-seven thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 53 73 102 106 146 153 159 219 306 318 438 477 569 657 901 954 1138 1241 1314 1707 1802 2482 2703 3414 3723 3869 5121 5406 7446 7738 8109 9673 10242 11169 11607 16218 19346 22338 23214 29019 30157 34821 41537 58038 60314 65773 69642 83074 87057 90471 124611 131546 174114 180942 197319 249222 271413 373833 394638 512669 542826 591957 706129 747666 1025338 1183914 1412258 1538007 2118387 2201461 3076014 4236774 4402922 4614021 6355161 6604383 9228042 12710322 13208766 19813149 37424837 39626298 74849674 112274511 224549022 336823533 673647066