Search a number
-
+
126660510 = 2345156371
BaseRepresentation
bin1111000110010…
…10111110011110
322211100000120000
413203022332132
5224411114020
620322435130
73065411424
oct743127636
9284300500
10126660510
1165550a09
1236502aa6
1320319762
1412b71114
15b1be090
hex78caf9e

126660510 has 40 divisors (see below), whose sum is σ = 340578216. Its totient is φ = 33775920.

The previous prime is 126660503. The next prime is 126660511. The reversal of 126660510 is 15066621.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126660511) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 77376 + ... + 78995.

Almost surely, 2126660510 is an apocalyptic number.

126660510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126660510 is an abundant number, since it is smaller than the sum of its proper divisors (213917706).

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

126660510 is a wasteful number, since it uses less digits than its factorization.

126660510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156390 (or 156381 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 126660510 is about 11254.3551570048. The cubic root of 126660510 is about 502.2042813405.

It can be divided in two parts, 1266 and 60510, that added together give a triangular number (61776 = T351).

The spelling of 126660510 in words is "one hundred twenty-six million, six hundred sixty thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 156371 312742 469113 781855 938226 1407339 1563710 2345565 2814678 4222017 4691130 7036695 8444034 12666051 14073390 21110085 25332102 42220170 63330255 126660510