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1353000 = 233531141
BaseRepresentation
bin101001010010100101000
32112201222010
411022110220
5321244000
644555520
714333415
oct5122450
92481863
101353000
11844590
12552ba0
13384abc
1427310c
151bad50
hex14a528

1353000 has 128 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 320000.

The previous prime is 1352999. The next prime is 1353007. The reversal of 1353000 is 3531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1353007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32980 + ... + 33020.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

21353000 is an apocalyptic number.

1353000 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 1353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

1353000 is an abundant number, since it is smaller than the sum of its proper divisors (3364440).

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

1353000 is a wasteful number, since it uses less digits than its factorization.

1353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 1353000 is about 1163.1852818876. The cubic root of 1353000 is about 110.6027517581.

Adding to 1353000 its reverse (3531), we get a palindrome (1356531).

The spelling of 1353000 in words is "one million, three hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 41 44 50 55 60 66 75 82 88 100 110 120 123 125 132 150 164 165 200 205 220 246 250 264 275 300 328 330 375 410 440 451 492 500 550 600 615 660 750 820 825 902 984 1000 1025 1100 1230 1320 1353 1375 1500 1640 1650 1804 2050 2200 2255 2460 2706 2750 3000 3075 3300 3608 4100 4125 4510 4920 5125 5412 5500 6150 6600 6765 8200 8250 9020 10250 10824 11000 11275 12300 13530 15375 16500 18040 20500 22550 24600 27060 30750 33000 33825 41000 45100 54120 56375 61500 67650 90200 112750 123000 135300 169125 225500 270600 338250 451000 676500 1353000