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1053900 = 2232521171
BaseRepresentation
bin100000001010011001100
31222112200100
410001103030
5232211100
634331100
711646411
oct4012314
91875610
101053900
1165a8a1
12429a90
132ab913
141d6108
1515c400
hex1014cc

1053900 has 54 divisors (see below), whose sum is σ = 3306212. Its totient is φ = 280800.

The previous prime is 1053863. The next prime is 1053953. The reversal of 1053900 is 93501.

It is a super-2 number, since 2×10539002 = 2221410420000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 315 + ... + 1485.

21053900 is an apocalyptic number.

1053900 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 1053900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653106).

1053900 is an abundant number, since it is smaller than the sum of its proper divisors (2252312).

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

1053900 is a wasteful number, since it uses less digits than its factorization.

1053900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1181 counting only the distinct ones).

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

The square root of 1053900 is about 1026.5963179361. The cubic root of 1053900 is about 101.7653197498.

It can be divided in two parts, 1053 and 900, that added together give a triangular number (1953 = T62).

The spelling of 1053900 in words is "one million, fifty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1171 2342 3513 4684 5855 7026 10539 11710 14052 17565 21078 23420 29275 35130 42156 52695 58550 70260 87825 105390 117100 175650 210780 263475 351300 526950 1053900