Search a number
-
+
10790780 = 2257311213
BaseRepresentation
bin101001001010…
…011101111100
3202022020011112
4221022131330
510230301110
61023141152
7160502000
oct51123574
922266145
1010790780
116100300
1237447b8
13230a7a0
14160c700
15e32405
hexa4a77c

10790780 has 144 divisors (see below), whose sum is σ = 31281600. Its totient is φ = 3104640.

The previous prime is 10790779. The next prime is 10790789. The reversal of 10790780 is 8709701.

10790780 = T119 + T120 + ... + T404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10790789) 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 47 ways as a sum of consecutive naturals, for example, 830054 + ... + 830066.

Almost surely, 210790780 is an apocalyptic number.

10790780 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 10790780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640800).

10790780 is an abundant number, since it is smaller than the sum of its proper divisors (20490820).

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

10790780 is a wasteful number, since it uses less digits than its factorization.

10790780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 32.

The square root of 10790780 is about 3284.9322671860. The cubic root of 10790780 is about 220.9789705835.

The spelling of 10790780 in words is "ten million, seven hundred ninety thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 121 130 140 143 154 182 196 220 242 245 260 286 308 343 364 385 455 484 490 539 572 605 637 686 715 770 847 910 980 1001 1078 1210 1274 1372 1430 1540 1573 1694 1715 1820 2002 2156 2420 2548 2695 2860 3146 3185 3388 3430 3773 4004 4235 4459 5005 5390 5929 6292 6370 6860 7007 7546 7865 8470 8918 10010 10780 11011 11858 12740 14014 15092 15730 16940 17836 18865 20020 22022 22295 23716 28028 29645 31460 35035 37730 41503 44044 44590 49049 55055 59290 70070 75460 77077 83006 89180 98098 110110 118580 140140 154154 166012 196196 207515 220220 245245 308308 385385 415030 490490 539539 770770 830060 980980 1079078 1541540 2158156 2697695 5395390 10790780