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1357020 = 223357359
BaseRepresentation
bin101001011010011011100
32112221111000
411023103130
5321411040
645030300
714351220
oct5132334
92487430
101357020
11847605
12555390
13386892
14274780
151bc130
hex14b4dc

1357020 has 96 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 309312.

The previous prime is 1357009. The next prime is 1357021. The reversal of 1357020 is 207531.

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

It is a junction number, because it is equal to n+sod(n) for n = 1356984 and 1357002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357021) 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 31 ways as a sum of consecutive naturals, for example, 3601 + ... + 3959.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

21357020 is an apocalyptic number.

1357020 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 1357020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

1357020 is an abundant number, since it is smaller than the sum of its proper divisors (3481380).

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

1357020 is a wasteful number, since it uses less digits than its factorization.

1357020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1357020 is about 1164.9120138448. The cubic root of 1357020 is about 110.7121834991.

The spelling of 1357020 in words is "one million, three hundred fifty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 359 378 420 540 630 718 756 945 1077 1260 1436 1795 1890 2154 2513 3231 3590 3780 4308 5026 5385 6462 7180 7539 9693 10052 10770 12565 12924 15078 16155 19386 21540 22617 25130 30156 32310 37695 38772 45234 48465 50260 64620 67851 75390 90468 96930 113085 135702 150780 193860 226170 271404 339255 452340 678510 1357020