Search a number
-
+
1670042920 = 2357132711693
BaseRepresentation
bin110001110001010…
…1101010100101000
311022101110222012111
41203202231110220
511410012333140
6433414452104
756246062540
oct14342552450
94271428174
101670042920
11787771a67
123a7364034
13207cbaca0
1411bb28320
159b9377ea
hex638ad528

1670042920 has 128 divisors (see below), whose sum is σ = 4644541440. Its totient is φ = 526279680.

The previous prime is 1670042909. The next prime is 1670042951. The reversal of 1670042920 is 292400761.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985594 + ... + 987286.

It is an arithmetic number, because the mean of its divisors is an integer number (36285480).

Almost surely, 21670042920 is an apocalyptic number.

1670042920 is a gapful number since it is divisible by the number (10) 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 1670042920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322270720).

1670042920 is an abundant number, since it is smaller than the sum of its proper divisors (2974498520).

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

1670042920 is a wasteful number, since it uses less digits than its factorization.

1670042920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 1670042920 is about 40866.1586156565. The cubic root of 1670042920 is about 1186.4311596915.

The spelling of 1670042920 in words is "one billion, six hundred seventy million, forty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 271 280 364 455 520 542 728 910 1084 1355 1693 1820 1897 2168 2710 3386 3523 3640 3794 5420 6772 7046 7588 8465 9485 10840 11851 13544 14092 15176 16930 17615 18970 22009 23702 24661 28184 33860 35230 37940 44018 47404 49322 59255 67720 70460 75880 88036 94808 98644 110045 118510 123305 140920 154063 176072 197288 220090 237020 246610 308126 440180 458803 474040 493220 616252 770315 880360 917606 986440 1232504 1540630 1835212 2294015 3081260 3211621 3670424 4588030 5964439 6162520 6423242 9176060 11928878 12846484 16058105 18352120 23857756 25692968 29822195 32116210 41751073 47715512 59644390 64232420 83502146 119288780 128464840 167004292 208755365 238577560 334008584 417510730 835021460 1670042920