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6105074340 = 22351719131337
BaseRepresentation
bin1011010111110010…
…00000101010100100
3120202110202220120110
411223321000222210
5100000344334330
62445444533020
7304201163361
oct55371005244
916673686513
106105074340
112653178792
1212246b1170
13763a98131
1441cb61468
1525ae90db0
hex16be40aa4

6105074340 has 96 divisors (see below), whose sum is σ = 18195093504. Its totient is φ = 1524183040.

The previous prime is 6105074273. The next prime is 6105074341. The reversal of 6105074340 is 434705016.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6105074298 and 6105074307.

It is not an unprimeable number, because it can be changed into a prime (6105074341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179152 + ... + 210488.

It is an arithmetic number, because the mean of its divisors is an integer number (189532224).

Almost surely, 26105074340 is an apocalyptic number.

6105074340 is a gapful number since it is divisible by the number (60) 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 6105074340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9097546752).

6105074340 is an abundant number, since it is smaller than the sum of its proper divisors (12090019164).

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

6105074340 is a wasteful number, since it uses less digits than its factorization.

6105074340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31557 (or 31555 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 6105074340 is about 78134.9751391782. The cubic root of 6105074340 is about 1827.6666429870. Note that the first 4 decimals are identical.

Adding to 6105074340 its reverse (434705016), we get a palindrome (6539779356).

The spelling of 6105074340 in words is "six billion, one hundred five million, seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 191 204 255 340 382 510 573 764 955 1020 1146 1910 2292 2865 3247 3820 5730 6494 9741 11460 12988 16235 19482 31337 32470 38964 48705 62674 64940 94011 97410 125348 156685 188022 194820 313370 376044 470055 532729 626740 940110 1065458 1598187 1880220 2130916 2663645 3196374 5327290 5985367 6392748 7990935 10654580 11970734 15981870 17956101 23941468 29926835 31963740 35912202 59853670 71824404 89780505 101751239 119707340 179561010 203502478 305253717 359122020 407004956 508756195 610507434 1017512390 1221014868 1526268585 2035024780 3052537170 6105074340