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2085042540 = 223574964387
BaseRepresentation
bin111110001000111…
…0011100101101100
312101022101010122210
41330101303211230
513232232330130
6542521410420
7102445366140
oct17421634554
95338333583
102085042540
1197aa52359
124a2339a10
13272c819a9
1415acb5220
15c30b05b0
hex7c47396c

2085042540 has 48 divisors (see below), whose sum is σ = 6672137472. Its totient is φ = 476581056.

The previous prime is 2085042527. The next prime is 2085042559. The reversal of 2085042540 is 452405802.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2085042498 and 2085042507.

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 15 ways as a sum of consecutive naturals, for example, 2481774 + ... + 2482613.

It is an arithmetic number, because the mean of its divisors is an integer number (139002864).

Almost surely, 22085042540 is an apocalyptic number.

2085042540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085042540 is an abundant number, since it is smaller than the sum of its proper divisors (4587094932).

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

2085042540 is a wasteful number, since it uses less digits than its factorization.

2085042540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964406 (or 4964404 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 2085042540 is about 45662.2660410103. The cubic root of 2085042540 is about 1277.5315668330.

The spelling of 2085042540 in words is "two billion, eighty-five million, forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 4964387 9928774 14893161 19857548 24821935 29786322 34750709 49643870 59572644 69501418 74465805 99287740 104252127 139002836 148931610 173753545 208504254 297863220 347507090 417008508 521260635 695014180 1042521270 2085042540