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1390200 = 233527331
BaseRepresentation
bin101010011011001111000
32121121222220
411103121320
5323441300
645444040
714550030
oct5233170
92547886
101390200
1186a529
12570620
13398a06
142828c0
151c6da0
hex153678

1390200 has 96 divisors (see below), whose sum is σ = 4940160. Its totient is φ = 316800.

The previous prime is 1390199. The next prime is 1390219. The reversal of 1390200 is 20931.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1390200.

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 23 ways as a sum of consecutive naturals, for example, 4035 + ... + 4365.

It is an arithmetic number, because the mean of its divisors is an integer number (51460).

21390200 is an apocalyptic number.

1390200 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 1390200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470080).

1390200 is an abundant number, since it is smaller than the sum of its proper divisors (3549960).

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

1390200 is a wasteful number, since it uses less digits than its factorization.

1390200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1390200 is about 1179.0674280973. The cubic root of 1390200 is about 111.6072553446.

The spelling of 1390200 in words is "one million, three hundred ninety thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 331 350 420 525 600 662 700 840 993 1050 1324 1400 1655 1986 2100 2317 2648 3310 3972 4200 4634 4965 6620 6951 7944 8275 9268 9930 11585 13240 13902 16550 18536 19860 23170 24825 27804 33100 34755 39720 46340 49650 55608 57925 66200 69510 92680 99300 115850 139020 173775 198600 231700 278040 347550 463400 695100 1390200