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1395180 = 2232523337
BaseRepresentation
bin101010100100111101100
32121212211100
411110213230
5324121210
645523100
714600403
oct5244754
92555740
101395180
11873246
12573490
1339b067
1428463a
151c85c0
hex1549ec

1395180 has 72 divisors (see below), whose sum is σ = 4429152. Its totient is φ = 354816.

The previous prime is 1395179. The next prime is 1395181. The reversal of 1395180 is 815931.

It is an interprime number because it is at equal distance from previous prime (1395179) and next prime (1395181).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1395181) 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, 3972 + ... + 4308.

It is an arithmetic number, because the mean of its divisors is an integer number (61516).

21395180 is an apocalyptic number.

1395180 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 1395180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214576).

1395180 is an abundant number, since it is smaller than the sum of its proper divisors (3033972).

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

1395180 is a wasteful number, since it uses less digits than its factorization.

1395180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1395180 is about 1181.1773787201. The cubic root of 1395180 is about 111.7403637172.

The spelling of 1395180 in words is "one million, three hundred ninety-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 337 345 414 460 674 690 828 1011 1035 1348 1380 1685 2022 2070 3033 3370 4044 4140 5055 6066 6740 7751 10110 12132 15165 15502 20220 23253 30330 31004 38755 46506 60660 69759 77510 93012 116265 139518 155020 232530 279036 348795 465060 697590 1395180