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10743040 = 285711109
BaseRepresentation
bin101000111110…
…110100000000
3202012210200101
4220332310000
510222234130
61022132144
7160212550
oct50766400
922183611
1010743040
116078450
123721054
1322c1b39
1415d9160
15e231ca
hexa3ed00

10743040 has 144 divisors (see below), whose sum is σ = 32376960. Its totient is φ = 3317760.

The previous prime is 10743017. The next prime is 10743059. The reversal of 10743040 is 4034701.

It is a happy number.

It is a super-3 number, since 3×107430403 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10742999 and 10743017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98506 + ... + 98614.

It is an arithmetic number, because the mean of its divisors is an integer number (224840).

Almost surely, 210743040 is an apocalyptic number.

10743040 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 10743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16188480).

10743040 is an abundant number, since it is smaller than the sum of its proper divisors (21633920).

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

10743040 is a wasteful number, since it uses less digits than its factorization.

10743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 10743040 is about 3277.6577002488. The cubic root of 10743040 is about 220.6526076461.

Adding to 10743040 its reverse (4034701), we get a palindrome (14777741).

It can be divided in two parts, 1074 and 3040, that added together give a palindrome (4114).

The spelling of 10743040 in words is "ten million, seven hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 109 110 112 128 140 154 160 176 218 220 224 256 280 308 320 352 385 436 440 448 545 560 616 640 704 763 770 872 880 896 1090 1120 1199 1232 1280 1408 1526 1540 1744 1760 1792 2180 2240 2398 2464 2816 3052 3080 3488 3520 3815 4360 4480 4796 4928 5995 6104 6160 6976 7040 7630 8393 8720 8960 9592 9856 11990 12208 12320 13952 14080 15260 16786 17440 19184 19712 23980 24416 24640 27904 30520 33572 34880 38368 41965 47960 48832 49280 61040 67144 69760 76736 83930 95920 97664 98560 122080 134288 139520 153472 167860 191840 195328 244160 268576 306944 335720 383680 488320 537152 671440 767360 976640 1074304 1342880 1534720 2148608 2685760 5371520 10743040