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3713820 = 22351117331
BaseRepresentation
bin1110001010101100011100
320222200101220
432022230130
51422320240
6211333340
743365315
oct16125434
96880356
103713820
112107280
1212b1250
13a00536
146c960c
154d55d0
hex38ab1c

3713820 has 96 divisors (see below), whose sum is σ = 12047616. Its totient is φ = 844800.

The previous prime is 3713807. The next prime is 3713849. The reversal of 3713820 is 283173.

3713820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11055 + ... + 11385.

It is an arithmetic number, because the mean of its divisors is an integer number (125496).

Almost surely, 23713820 is an apocalyptic number.

3713820 is a gapful number since it is divisible by the number (30) 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 3713820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023808).

3713820 is an abundant number, since it is smaller than the sum of its proper divisors (8333796).

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

3713820 is a wasteful number, since it uses less digits than its factorization.

3713820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3713820 is about 1927.1273958927. The cubic root of 3713820 is about 154.8603667904.

Adding to 3713820 its reverse (283173), we get a palindrome (3996993).

The spelling of 3713820 in words is "three million, seven hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 331 340 374 510 561 660 662 748 935 993 1020 1122 1324 1655 1870 1986 2244 2805 3310 3641 3740 3972 4965 5610 5627 6620 7282 9930 10923 11220 11254 14564 16881 18205 19860 21846 22508 28135 33762 36410 43692 54615 56270 61897 67524 72820 84405 109230 112540 123794 168810 185691 218460 247588 309485 337620 371382 618970 742764 928455 1237940 1856910 3713820