Search a number
-
+
683707680 = 25325491967
BaseRepresentation
bin101000110000001…
…000110100100000
31202122111221121200
4220300020310200
52400012121210
6151502121200
722641263565
oct5060106440
91678457550
10683707680
11320a31777
12170b80200
13ab856776
1466b3686c
15400550c0
hex28c08d20

683707680 has 144 divisors (see below), whose sum is σ = 2340321984. Its totient is φ = 181762560.

The previous prime is 683707657. The next prime is 683707693. The reversal of 683707680 is 86707386.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706557 + ... + 707523.

It is an arithmetic number, because the mean of its divisors is an integer number (16252236).

Almost surely, 2683707680 is an apocalyptic number.

683707680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170160992).

683707680 is an abundant number, since it is smaller than the sum of its proper divisors (1656614304).

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

683707680 is a wasteful number, since it uses less digits than its factorization.

683707680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 683707680 is about 26147.8044967450. The cubic root of 683707680 is about 880.9612773798.

The spelling of 683707680 in words is "six hundred eighty-three million, seven hundred seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 491 720 967 982 1440 1473 1934 1964 2455 2901 2946 3868 3928 4419 4835 4910 5802 5892 7365 7736 7856 8703 8838 9670 9820 11604 11784 14505 14730 15472 15712 17406 17676 19340 19640 22095 23208 23568 29010 29460 30944 34812 35352 38680 39280 43515 44190 46416 47136 58020 58920 69624 70704 77360 78560 87030 88380 92832 116040 117840 139248 141408 154720 174060 176760 232080 235680 278496 348120 353520 464160 474797 696240 707040 949594 1392480 1424391 1899188 2373985 2848782 3798376 4273173 4747970 5697564 7121955 7596752 8546346 9495940 11395128 14243910 15193504 17092692 18991880 21365865 22790256 28487820 34185384 37983760 42731730 45580512 56975640 68370768 75967520 85463460 113951280 136741536 170926920 227902560 341853840 683707680