Search a number
-
+
10743320 = 2357173761
BaseRepresentation
bin101000111110…
…111000011000
3202012211001202
4220332320120
510222241240
61022133332
7160213430
oct50767030
922184052
1010743320
116078685
123721248
1322c1cc3
1415d92c0
15e23315
hexa3ee18

10743320 has 128 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 3317760.

The previous prime is 10743319. The next prime is 10743331. The reversal of 10743320 is 2334701.

10743320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10743292 and 10743301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176090 + ... + 176150.

It is an arithmetic number, because the mean of its divisors is an integer number (238545).

Almost surely, 210743320 is an apocalyptic number.

10743320 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 10743320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

10743320 is an abundant number, since it is smaller than the sum of its proper divisors (19790440).

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

10743320 is a wasteful number, since it uses less digits than its factorization.

10743320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 10743320 is about 3277.7004133996. The cubic root of 10743320 is about 220.6545246141.

10743320 divided by its sum of digits (20) gives a triangular number (537166 = T1036).

The spelling of 10743320 in words is "ten million, seven hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 37 40 56 61 68 70 74 85 119 122 136 140 148 170 185 238 244 259 280 296 305 340 370 427 476 488 518 595 610 629 680 740 854 952 1036 1037 1190 1220 1258 1295 1480 1708 2072 2074 2135 2257 2380 2440 2516 2590 3145 3416 4148 4270 4403 4514 4760 5032 5180 5185 6290 7259 8296 8540 8806 9028 10360 10370 11285 12580 14518 15799 17080 17612 18056 20740 22015 22570 25160 29036 31598 35224 36295 38369 41480 44030 45140 58072 63196 72590 76738 78995 88060 90280 126392 145180 153476 157990 176120 191845 268583 290360 306952 315980 383690 537166 631960 767380 1074332 1342915 1534760 2148664 2685830 5371660 10743320