Search a number
-
+
126784890 = 23251997079
BaseRepresentation
bin1111000111010…
…01010101111010
322211120100011200
413203221111322
5224424104030
620325235030
73066440151
oct743512572
9284510150
10126784890
1165626401
1236562a76
132036125b
1412ba4598
15b1e5d60
hex78e957a

126784890 has 48 divisors (see below), whose sum is σ = 331344000. Its totient is φ = 33634656.

The previous prime is 126784871. The next prime is 126784919. The reversal of 126784890 is 98487621.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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, 14371 + ... + 21449.

It is an arithmetic number, because the mean of its divisors is an integer number (6903000).

Almost surely, 2126784890 is an apocalyptic number.

126784890 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 126784890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165672000).

126784890 is an abundant number, since it is smaller than the sum of its proper divisors (204559110).

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

126784890 is a wasteful number, since it uses less digits than its factorization.

126784890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7291 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 126784890 is about 11259.8796618792. The cubic root of 126784890 is about 502.3686149415.

The spelling of 126784890 in words is "one hundred twenty-six million, seven hundred eighty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 199 398 597 995 1194 1791 1990 2985 3582 5970 7079 8955 14158 17910 21237 35395 42474 63711 70790 106185 127422 212370 318555 637110 1408721 2817442 4226163 7043605 8452326 12678489 14087210 21130815 25356978 42261630 63392445 126784890