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1380300 = 2235243107
BaseRepresentation
bin101010000111111001100
32121010102020
411100333030
5323132200
645330140
714506125
oct5207714
92533366
101380300
11863049
12566950
1339435c
1427d04c
151c3ea0
hex150fcc

1380300 has 72 divisors (see below), whose sum is σ = 4124736. Its totient is φ = 356160.

The previous prime is 1380289. The next prime is 1380307. The reversal of 1380300 is 30831.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1380300.

It is not an unprimeable number, because it can be changed into a prime (1380307) 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 23 ways as a sum of consecutive naturals, for example, 12847 + ... + 12953.

It is an arithmetic number, because the mean of its divisors is an integer number (57288).

21380300 is an apocalyptic number.

1380300 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 1380300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368).

1380300 is an abundant number, since it is smaller than the sum of its proper divisors (2744436).

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

1380300 is a wasteful number, since it uses less digits than its factorization.

1380300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1380300 is about 1174.8616939878. The cubic root of 1380300 is about 111.3416952218.

The spelling of 1380300 in words is "one million, three hundred eighty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 107 129 150 172 214 215 258 300 321 428 430 516 535 642 645 860 1070 1075 1284 1290 1605 2140 2150 2580 2675 3210 3225 4300 4601 5350 6420 6450 8025 9202 10700 12900 13803 16050 18404 23005 27606 32100 46010 55212 69015 92020 115025 138030 230050 276060 345075 460100 690150 1380300