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2068675328 = 28172937443
BaseRepresentation
bin111101101001101…
…0111101100000000
312100011120121001202
41323103113230000
513214040102303
6541134520332
7102156310256
oct17323275400
95304517052
102068675328
11971793435
124989660a8
1326c770c55
14158a545d6
15c192ac88
hex7b4d7b00

2068675328 has 144 divisors (see below), whose sum is σ = 4655659680. Its totient is φ = 912457728.

The previous prime is 2068675321. The next prime is 2068675339. The reversal of 2068675328 is 8235768602.

It is a happy number.

It is a super-2 number, since 2×20686753282 = 8558835225351815168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2068675321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4669475 + ... + 4669917.

It is an arithmetic number, because the mean of its divisors is an integer number (32330970).

Almost surely, 22068675328 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 2068675328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327829840).

2068675328 is an abundant number, since it is smaller than the sum of its proper divisors (2586984352).

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

2068675328 is a wasteful number, since it uses less digits than its factorization.

2068675328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 2068675328 is about 45482.6926203803. The cubic root of 2068675328 is about 1274.1799833945.

The spelling of 2068675328 in words is "two billion, sixty-eight million, six hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 37 58 64 68 74 116 128 136 148 232 256 272 296 443 464 493 544 592 629 886 928 986 1073 1088 1184 1258 1772 1856 1972 2146 2176 2368 2516 3544 3712 3944 4292 4352 4736 5032 7088 7424 7531 7888 8584 9472 10064 12847 14176 15062 15776 16391 17168 18241 20128 25694 28352 30124 31552 32782 34336 36482 40256 51388 56704 60248 63104 65564 68672 72964 80512 102776 113408 120496 126208 131128 137344 145928 161024 205552 218399 240992 262256 274688 278647 291856 411104 436798 475339 481984 524512 557294 583712 822208 873596 950678 963968 1049024 1114588 1167424 1644416 1747192 1901356 1927936 2098048 2229176 2334848 3288832 3494384 3802712 4196096 4458352 4669696 6988768 7605424 8080763 8916704 13977536 15210848 16161526 17833408 27955072 30421696 32323052 35666816 55910144 60843392 64646104 71333632 121686784 129292208 258584416 517168832 1034337664 2068675328