Search a number
-
+
2068864440 = 233521118167
BaseRepresentation
bin111101101010000…
…0101110110111000
312100011221012110220
41323110011312320
513214112130230
6541142540040
7102161025516
oct17324056670
95304835426
102068864440
11971902525
12498a37620
1326c809056
14158aa34b6
15c1966d10
hex7b505db8

2068864440 has 64 divisors (see below), whose sum is σ = 6210293760. Its totient is φ = 551368320.

The previous prime is 2068864409. The next prime is 2068864459. The reversal of 2068864440 is 444688602.

It is a junction number, because it is equal to n+sod(n) for n = 2068864392 and 2068864401.

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 15 ways as a sum of consecutive naturals, for example, 249237 + ... + 257403.

It is an arithmetic number, because the mean of its divisors is an integer number (97035840).

Almost surely, 22068864440 is an apocalyptic number.

2068864440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2068864440 is an abundant number, since it is smaller than the sum of its proper divisors (4141429320).

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

2068864440 is a wasteful number, since it uses less digits than its factorization.

2068864440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10292 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 2068864440 is about 45484.7715175090. The cubic root of 2068864440 is about 1274.2188094296.

The spelling of 2068864440 in words is "two billion, sixty-eight million, eight hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2111 4222 6333 8167 8444 10555 12666 16334 16888 21110 24501 25332 31665 32668 40835 42220 49002 50664 63330 65336 81670 84440 98004 122505 126660 163340 196008 245010 253320 326680 490020 980040 17240537 34481074 51721611 68962148 86202685 103443222 137924296 172405370 206886444 258608055 344810740 413772888 517216110 689621480 1034432220 2068864440