Search a number
-
+
7412560680 = 2335783106319
BaseRepresentation
bin1101110011101001…
…01011001100101000
3201010121001002122110
412321310223030220
5110140103420210
63223312522320
7351455504040
oct67164531450
921117032573
107412560680
113164219608
12152a5503a0
139119247a5
14504670720
152d5b5e420
hex1b9d2b328

7412560680 has 128 divisors (see below), whose sum is σ = 25720934400. Its totient is φ = 1673870592.

The previous prime is 7412560663. The next prime is 7412560693. The reversal of 7412560680 is 860652147.

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 31 ways as a sum of consecutive naturals, for example, 16561 + ... + 122879.

It is an arithmetic number, because the mean of its divisors is an integer number (200944800).

Almost surely, 27412560680 is an apocalyptic number.

7412560680 is a gapful number since it is divisible by the number (70) 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 7412560680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860467200).

7412560680 is an abundant number, since it is smaller than the sum of its proper divisors (18308373720).

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

7412560680 is a wasteful number, since it uses less digits than its factorization.

7412560680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106423 (or 106419 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 7412560680 is about 86096.2291857199. The cubic root of 7412560680 is about 1949.7971018345.

The spelling of 7412560680 in words is "seven billion, four hundred twelve million, five hundred sixty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 83 84 105 120 140 166 168 210 249 280 332 415 420 498 581 664 830 840 996 1162 1245 1660 1743 1992 2324 2490 2905 3320 3486 4648 4980 5810 6972 8715 9960 11620 13944 17430 23240 34860 69720 106319 212638 318957 425276 531595 637914 744233 850552 1063190 1275828 1488466 1594785 2126380 2232699 2551656 2976932 3189570 3721165 4252760 4465398 5953864 6379140 7442330 8824477 8930796 11163495 12758280 14884660 17648954 17861592 22326990 26473431 29769320 35297908 44122385 44653980 52946862 61771339 70595816 88244770 89307960 105893724 123542678 132367155 176489540 185314017 211787448 247085356 264734310 308856695 352979080 370628034 494170712 529468620 617713390 741256068 926570085 1058937240 1235426780 1482512136 1853140170 2470853560 3706280340 7412560680