Search a number
-
+
10426780 = 22571317337
BaseRepresentation
bin100111110001…
…100110011100
3201121201212001
4213301212130
510132124110
61011252044
7154424530
oct47614634
921551761
1010426780
115981881
1235aa024
132210bc0
141555bc0
15dae63a
hex9f199c

10426780 has 96 divisors (see below), whose sum is σ = 28619136. Its totient is φ = 3096576.

The previous prime is 10426777. The next prime is 10426781. The reversal of 10426780 is 8762401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10426781) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30772 + ... + 31108.

It is an arithmetic number, because the mean of its divisors is an integer number (298116).

Almost surely, 210426780 is an apocalyptic number.

10426780 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 10426780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309568).

10426780 is an abundant number, since it is smaller than the sum of its proper divisors (18192356).

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

10426780 is a wasteful number, since it uses less digits than its factorization.

10426780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 10426780 is about 3229.0524926052. The cubic root of 10426780 is about 218.4657718064.

The spelling of 10426780 in words is "ten million, four hundred twenty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 337 340 364 442 455 476 595 674 884 910 1105 1190 1348 1547 1685 1820 2210 2359 2380 3094 3370 4381 4420 4718 5729 6188 6740 7735 8762 9436 11458 11795 15470 17524 21905 22916 23590 28645 30667 30940 40103 43810 47180 57290 61334 74477 80206 87620 114580 122668 148954 153335 160412 200515 297908 306670 372385 401030 521339 613340 744770 802060 1042678 1489540 2085356 2606695 5213390 10426780