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10743920 = 2451129421
BaseRepresentation
bin101000111111…
…000001110000
3202012211212222
4220333001300
510222301140
61022140212
7160215245
oct50770160
922184788
1010743920
116079080
123721668
1322c2365
1415d95cc
15e235b5
hexa3f070

10743920 has 80 divisors (see below), whose sum is σ = 28257120. Its totient is φ = 3763200.

The previous prime is 10743913. The next prime is 10743923. The reversal of 10743920 is 2934701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10743920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10743923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25310 + ... + 25730.

It is an arithmetic number, because the mean of its divisors is an integer number (353214).

Almost surely, 210743920 is an apocalyptic number.

10743920 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 10743920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128560).

10743920 is an abundant number, since it is smaller than the sum of its proper divisors (17513200).

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

10743920 is a wasteful number, since it uses less digits than its factorization.

10743920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 10743920 is about 3277.7919397058. The cubic root of 10743920 is about 220.6586322906.

It can be divided in two parts, 1074 and 3920, that added together give a palindrome (4994).

The spelling of 10743920 in words is "ten million, seven hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 421 440 464 580 638 842 880 1160 1276 1595 1684 2105 2320 2552 3190 3368 4210 4631 5104 6380 6736 8420 9262 12209 12760 16840 18524 23155 24418 25520 33680 37048 46310 48836 61045 74096 92620 97672 122090 134299 185240 195344 244180 268598 370480 488360 537196 671495 976720 1074392 1342990 2148784 2685980 5371960 10743920