Search a number
-
+
2590001640 = 2332531232079
BaseRepresentation
bin1001101001100000…
…0100100111101000
320200111112201022200
42122120010213220
520301020023030
61105000420200
7121116436122
oct23230044750
96614481280
102590001640
111109a96626
12603477660
13323782065
141a7d9c212
151025a7d60
hex9a6049e8

2590001640 has 96 divisors (see below), whose sum is σ = 8689075200. Its totient is φ = 668384640.

The previous prime is 2590001639. The next prime is 2590001651. The reversal of 2590001640 is 461000952.

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 23 ways as a sum of consecutive naturals, for example, 104880 + ... + 127199.

It is an arithmetic number, because the mean of its divisors is an integer number (90511200).

Almost surely, 22590001640 is an apocalyptic number.

2590001640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590001640 is an abundant number, since it is smaller than the sum of its proper divisors (6099073560).

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

2590001640 is a wasteful number, since it uses less digits than its factorization.

2590001640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232127 (or 232120 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2590001640 is about 50892.0587125339. The cubic root of 2590001640 is about 1373.3039831496.

The spelling of 2590001640 in words is "two billion, five hundred ninety million, one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 232079 464158 696237 928316 1160395 1392474 1856632 2088711 2320790 2784948 3481185 4177422 4641580 5569896 6962370 7194449 8354844 9283160 10443555 13924740 14388898 16709688 20887110 21583347 27849480 28777796 35972245 41774220 43166694 57555592 64750041 71944490 83548440 86333388 107916735 129500082 143888980 172666776 215833470 259000164 287777960 323750205 431666940 518000328 647500410 863333880 1295000820 2590001640