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681780288 = 2637736949
BaseRepresentation
bin101000101000110…
…010010001000000
31202111220000201210
4220220302101000
52344013432123
6151352530120
722616015430
oct5050622100
91674800653
10681780288
1131a935692
121703b0940
13ab3303b7
14667942c0
153ecc3e93
hex28a32440

681780288 has 112 divisors (see below), whose sum is σ = 2090115200. Its totient is φ = 192098304.

The previous prime is 681780277. The next prime is 681780301. The reversal of 681780288 is 882087186.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×6817802882 = 929648722210725888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94638 + ... + 101586.

Almost surely, 2681780288 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 681780288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045057600).

681780288 is an abundant number, since it is smaller than the sum of its proper divisors (1408334912).

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

681780288 is a wasteful number, since it uses less digits than its factorization.

681780288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The square root of 681780288 is about 26110.9227718976. The cubic root of 681780288 is about 880.1326797191.

The spelling of 681780288 in words is "six hundred eighty-one million, seven hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1344 1533 1752 2044 2336 3066 3504 4088 4672 6132 6949 7008 8176 12264 13898 14016 16352 20847 24528 27796 32704 41694 48643 49056 55592 83388 97286 98112 111184 145929 166776 194572 222368 291858 333552 389144 444736 507277 583716 667104 778288 1014554 1167432 1334208 1521831 1556576 2029108 2334864 3043662 3113152 3550939 4058216 4669728 6087324 7101878 8116432 9339456 10652817 12174648 14203756 16232864 21305634 24349296 28407512 32465728 42611268 48698592 56815024 85222536 97397184 113630048 170445072 227260096 340890144 681780288