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680448168 = 233343611201
BaseRepresentation
bin101000100011101…
…101000010101000
31202102101100102000
4220203231002220
52343143320133
6151304211000
722601466621
oct5043550250
91672340360
10680448168
1131a105864
1216ba69a60
13aac84c6a
1466528a48
153eb0e413
hex288ed0a8

680448168 has 128 divisors (see below), whose sum is σ = 1967433600. Its totient is φ = 217728000.

The previous prime is 680448161. The next prime is 680448217. The reversal of 680448168 is 861844086.

It is not an unprimeable number, because it can be changed into a prime (680448161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565968 + ... + 567168.

It is an arithmetic number, because the mean of its divisors is an integer number (15370575).

Almost surely, 2680448168 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 680448168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983716800).

680448168 is an abundant number, since it is smaller than the sum of its proper divisors (1286985432).

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

680448168 is a wasteful number, since it uses less digits than its factorization.

680448168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 680448168 is about 26085.4014345189. The cubic root of 680448168 is about 879.5590800802.

The spelling of 680448168 in words is "six hundred eighty million, four hundred forty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 61 72 86 108 122 129 172 183 216 244 258 344 366 387 488 516 549 732 774 1032 1098 1161 1201 1464 1548 1647 2196 2322 2402 2623 3096 3294 3603 4392 4644 4804 5246 6588 7206 7869 9288 9608 10492 10809 13176 14412 15738 20984 21618 23607 28824 31476 32427 43236 47214 51643 62952 64854 70821 73261 86472 94428 103286 129708 141642 146522 154929 188856 206572 219783 259416 283284 293044 309858 413144 439566 464787 566568 586088 619716 659349 879132 929574 1239432 1318698 1394361 1758264 1859148 1978047 2637396 2788722 3150223 3718296 3956094 5274792 5577444 6300446 7912188 9450669 11154888 12600892 15824376 18901338 25201784 28352007 37802676 56704014 75605352 85056021 113408028 170112042 226816056 340224084 680448168