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18750340 = 2257219253
BaseRepresentation
bin100011110000…
…1101110000100
31022021121122001
41013201232010
514300002330
61505515044
7315242500
oct107415604
938247561
1018750340
11a647454
126342a84
133b6669b
1426c1300
1519a59ca
hex11e1b84

18750340 has 108 divisors (see below), whose sum is σ = 49254156. Its totient is φ = 5975424.

The previous prime is 18750317. The next prime is 18750341. The reversal of 18750340 is 4305781.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 8561476 = 3192^2 + 2926^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 18750299 and 18750308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18750341) 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 35 ways as a sum of consecutive naturals, for example, 353754 + ... + 353806.

It is an arithmetic number, because the mean of its divisors is an integer number (456057).

Almost surely, 218750340 is an apocalyptic number.

18750340 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 18750340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24627078).

18750340 is an abundant number, since it is smaller than the sum of its proper divisors (30503816).

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

18750340 is a wasteful number, since it uses less digits than its factorization.

18750340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 18750340 is about 4330.1662785625. The cubic root of 18750340 is about 265.6662480811. Note that the first 3 decimals are identical.

The spelling of 18750340 in words is "eighteen million, seven hundred fifty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 53 70 76 95 98 106 133 140 190 196 212 245 265 266 361 371 380 490 530 532 665 722 742 931 980 1007 1060 1330 1444 1484 1805 1855 1862 2014 2527 2597 2660 3610 3710 3724 4028 4655 5035 5054 5194 7049 7220 7420 9310 10070 10108 10388 12635 12985 14098 17689 18620 19133 20140 25270 25970 28196 35245 35378 38266 49343 50540 51940 70490 70756 76532 88445 95665 98686 133931 140980 176890 191330 197372 246715 267862 353780 382660 493430 535724 669655 937517 986860 1339310 1875034 2678620 3750068 4687585 9375170 18750340