Search a number
-
+
1670090616 = 2333103271277
BaseRepresentation
bin110001110001011…
…1000111101111000
311022101120101122000
41203202320331320
511410020344431
6433415501000
756246351565
oct14342707570
94271511560
101670090616
117877a4887
123a7387760
132080068cc
1411bb3b86c
159b9469e6
hex638b8f78

1670090616 has 128 divisors (see below), whose sum is σ = 4718438400. Its totient is φ = 547274880.

The previous prime is 1670090563. The next prime is 1670090627. The reversal of 1670090616 is 6160900761.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6029070 + ... + 6029346.

It is an arithmetic number, because the mean of its divisors is an integer number (36862800).

Almost surely, 21670090616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1670090616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359219200).

1670090616 is an abundant number, since it is smaller than the sum of its proper divisors (3048347784).

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

1670090616 is a wasteful number, since it uses less digits than its factorization.

1670090616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1670090616 is about 40866.7421750254. The cubic root of 1670090616 is about 1186.4424543078.

The spelling of 1670090616 in words is "one billion, six hundred seventy million, ninety thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 271 277 309 412 542 554 618 813 824 831 927 1084 1108 1236 1626 1662 1854 2168 2216 2439 2472 2493 2781 3252 3324 3708 4878 4986 5562 6504 6648 7317 7416 7479 9756 9972 11124 14634 14958 19512 19944 22248 27913 28531 29268 29916 55826 57062 58536 59832 75067 83739 85593 111652 114124 150134 167478 171186 223304 225201 228248 251217 256779 300268 334956 342372 450402 502434 513558 600536 669912 675603 684744 753651 770337 900804 1004868 1027116 1351206 1507302 1540674 1801608 2009736 2026809 2054232 2702412 3014604 3081348 4053618 5404824 6029208 6162696 7731901 8107236 15463802 16214472 23195703 30927604 46391406 61855208 69587109 92782812 139174218 185565624 208761327 278348436 417522654 556696872 835045308 1670090616