Search a number
-
+
126830070 = 23351134157
BaseRepresentation
bin1111000111101…
…00010111110110
322211122122011000
413203310113312
5224432030240
620330224130
73100015653
oct743642766
9284578130
10126830070
1165657344
1236585046
13203789a3
1412bb6c2a
15b204430
hex78f45f6

126830070 has 64 divisors (see below), whose sum is σ = 341288640. Its totient is φ = 33513984.

The previous prime is 126830057. The next prime is 126830087. The reversal of 126830070 is 70038621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 28432 + ... + 32588.

It is an arithmetic number, because the mean of its divisors is an integer number (5332635).

Almost surely, 2126830070 is an apocalyptic number.

126830070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126830070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170644320).

126830070 is an abundant number, since it is smaller than the sum of its proper divisors (214458570).

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

126830070 is a wasteful number, since it uses less digits than its factorization.

126830070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 126830070 is about 11261.8857213168. The cubic root of 126830070 is about 502.4282811434.

Adding to 126830070 its reverse (70038621), we get a palindrome (196868691).

The spelling of 126830070 in words is "one hundred twenty-six million, eight hundred thirty thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1695 2034 3051 3390 4157 5085 6102 8314 10170 12471 15255 20785 24942 30510 37413 41570 62355 74826 112239 124710 187065 224478 374130 469741 561195 939482 1122390 1409223 2348705 2818446 4227669 4697410 7046115 8455338 12683007 14092230 21138345 25366014 42276690 63415035 126830070