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53102000 = 245373793
BaseRepresentation
bin1100101010010…
…0010110110000
310200220212020202
43022210112300
5102043231000
65134054332
71213234220
oct312442660
9120825222
1053102000
1127a7a356
121594a3a8
13b003303
1470a4080
1549dddd5
hex32a45b0

53102000 has 80 divisors (see below), whose sum is σ = 146782272. Its totient is φ = 18201600.

The previous prime is 53101981. The next prime is 53102003. The reversal of 53102000 is 20135.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (53102003) 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 15 ways as a sum of consecutive naturals, for example, 12104 + ... + 15896.

Almost surely, 253102000 is an apocalyptic number.

53102000 is a gapful number since it is divisible by the number (50) 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 53102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73391136).

53102000 is an abundant number, since it is smaller than the sum of its proper divisors (93680272).

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

53102000 is a wasteful number, since it uses less digits than its factorization.

53102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 53102000 is about 7287.1119107641. Note that the first 3 decimals coincide. The cubic root of 53102000 is about 375.8693902779.

Adding to 53102000 its reverse (20135), we get a palindrome (53122135).

The spelling of 53102000 in words is "fifty-three million, one hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 3793 7000 7586 14000 15172 18965 26551 30344 37930 53102 60688 75860 94825 106204 132755 151720 189650 212408 265510 303440 379300 424816 474125 531020 663775 758600 948250 1062040 1327550 1517200 1896500 2124080 2655100 3318875 3793000 5310200 6637750 7586000 10620400 13275500 26551000 53102000