Search a number
-
+
126675640 = 23571322677
BaseRepresentation
bin1111000110011…
…10101010111000
322211100210022101
413203032222320
5224412110030
620323033144
73065503510
oct743165270
9284323271
10126675640
1165561313
123650b7b4
1320323600
1412b76840
15b1c37ca
hex78ceab8

126675640 has 96 divisors (see below), whose sum is σ = 352853280. Its totient is φ = 40075776.

The previous prime is 126675629. The next prime is 126675673. The reversal of 126675640 is 46576621.

126675640 = 42512 + 42522 + ... + 42572.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 126675640.

It is a congruent number.

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, 45982 + ... + 48658.

It is an arithmetic number, because the mean of its divisors is an integer number (3675555).

Almost surely, 2126675640 is an apocalyptic number.

126675640 is a gapful number since it is divisible by the number (10) 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 126675640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176426640).

126675640 is an abundant number, since it is smaller than the sum of its proper divisors (226177640).

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

126675640 is a wasteful number, since it uses less digits than its factorization.

126675640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 126675640 is about 11255.0273211574. The cubic root of 126675640 is about 502.2242771762.

The spelling of 126675640 in words is "one hundred twenty-six million, six hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 169 182 260 280 338 364 455 520 676 728 845 910 1183 1352 1690 1820 2366 2677 3380 3640 4732 5354 5915 6760 9464 10708 11830 13385 18739 21416 23660 26770 34801 37478 47320 53540 69602 74956 93695 107080 139204 149912 174005 187390 243607 278408 348010 374780 452413 487214 696020 749560 904826 974428 1218035 1392040 1809652 1948856 2262065 2436070 3166891 3619304 4524130 4872140 6333782 9048260 9744280 12667564 15834455 18096520 25335128 31668910 63337820 126675640