Search a number
-
+
10743246040 = 2352912377487
BaseRepresentation
bin10100000000101100…
…01110110011011000
31000201201022110000111
422000112032303120
5134000232333130
64534013014104
7530141041012
oct120026166330
930651273014
1010743246040
11461331183a
1220b9a84334
13102298ba27
1473cb571b2
1542d27402a
hex28058ecd8

10743246040 has 64 divisors (see below), whose sum is σ = 25029388800. Its totient is φ = 4145207808.

The previous prime is 10743246023. The next prime is 10743246043. The reversal of 10743246040 is 4064234701.

It is a junction number, because it is equal to n+sod(n) for n = 10743245993 and 10743246011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10743246043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1431177 + ... + 1438663.

It is an arithmetic number, because the mean of its divisors is an integer number (391084200).

Almost surely, 210743246040 is an apocalyptic number.

10743246040 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 10743246040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12514694400).

10743246040 is an abundant number, since it is smaller than the sum of its proper divisors (14286142760).

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

10743246040 is a wasteful number, since it uses less digits than its factorization.

10743246040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8764 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 10743246040 in words is "ten billion, seven hundred forty-three million, two hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1237 2474 4948 6185 7487 9896 12370 14974 24740 29948 35873 37435 49480 59896 71746 74870 143492 149740 179365 217123 286984 299480 358730 434246 717460 868492 1085615 1434920 1736984 2171230 4342460 8684920 9261419 18522838 37045676 46307095 74091352 92614190 185228380 268581151 370456760 537162302 1074324604 1342905755 2148649208 2685811510 5371623020 10743246040