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1395000 = 23325431
BaseRepresentation
bin101010100100100111000
32121212120200
411110210320
5324120000
645522200
714600025
oct5244470
92555520
101395000
118730a2
12573360
1339ac59
1428454c
151c8500
hex154938

1395000 has 120 divisors (see below), whose sum is σ = 4873440. Its totient is φ = 360000.

The previous prime is 1394993. The next prime is 1395001. The reversal of 1395000 is 5931.

1395000 = 263 + 273 + ... + 493.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44985 + ... + 45015.

It is an arithmetic number, because the mean of its divisors is an integer number (40612).

21395000 is an apocalyptic number.

1395000 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 1395000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436720).

1395000 is an abundant number, since it is smaller than the sum of its proper divisors (3478440).

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

1395000 is a wasteful number, since it uses less digits than its factorization.

1395000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1395000 is about 1181.1011811018. The cubic root of 1395000 is about 111.7355580935.

The spelling of 1395000 in words is "one million, three hundred ninety-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 125 150 155 180 186 200 225 248 250 279 300 310 360 372 375 450 465 500 558 600 620 625 744 750 775 900 930 1000 1116 1125 1240 1250 1395 1500 1550 1800 1860 1875 2232 2250 2325 2500 2790 3000 3100 3720 3750 3875 4500 4650 5000 5580 5625 6200 6975 7500 7750 9000 9300 11160 11250 11625 13950 15000 15500 18600 19375 22500 23250 27900 31000 34875 38750 45000 46500 55800 58125 69750 77500 93000 116250 139500 155000 174375 232500 279000 348750 465000 697500 1395000