Search a number
-
+
126676496 = 2419715869
BaseRepresentation
bin1111000110011…
…10111000010000
322211100211111002
413203032320100
5224412121441
620323041132
73065506142
oct743167020
9284324432
10126676496
1165561a21
12365101a8
1320323b0b
1412b76c92
15b1c3b9b
hex78cee10

126676496 has 40 divisors (see below), whose sum is σ = 262036800. Its totient is φ = 59149440.

The previous prime is 126676483. The next prime is 126676513. The reversal of 126676496 is 694676621.

It is a self number, because there is not a number n which added to its sum of digits gives 126676496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18650 + ... + 24518.

It is an arithmetic number, because the mean of its divisors is an integer number (6550920).

Almost surely, 2126676496 is an apocalyptic number.

126676496 is a gapful number since it is divisible by the number (16) 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 126676496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131018400).

126676496 is an abundant number, since it is smaller than the sum of its proper divisors (135360304).

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

126676496 is a wasteful number, since it uses less digits than its factorization.

126676496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5961 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The square root of 126676496 is about 11255.0653485442. The cubic root of 126676496 is about 502.2254084198.

The spelling of 126676496 in words is "one hundred twenty-six million, six hundred seventy-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 71 76 142 152 284 304 568 1136 1349 2698 5396 5869 10792 11738 21584 23476 46952 93904 111511 223022 416699 446044 833398 892088 1666796 1784176 3333592 6667184 7917281 15834562 31669124 63338248 126676496