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102753020 = 2255137651
BaseRepresentation
bin1100001111111…
…10001011111100
321011100101122102
412013332023330
5202301044040
614110204232
72355246326
oct607761374
9234311572
10102753020
1153001957
122a4b3678
1318398906
14d90a616
15904a515
hex61fe2fc

102753020 has 12 divisors (see below), whose sum is σ = 215781384. Its totient is φ = 41101200.

The previous prime is 102753019. The next prime is 102753037. The reversal of 102753020 is 20357201.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5137651 = 102753020 / (1 + 0 + 2 + 7 + 5 + 3 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 102752983 and 102753001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2568806 + ... + 2568845.

It is an arithmetic number, because the mean of its divisors is an integer number (17981782).

Almost surely, 2102753020 is an apocalyptic number.

102753020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102753020 is an abundant number, since it is smaller than the sum of its proper divisors (113028364).

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

102753020 is a wasteful number, since it uses less digits than its factorization.

102753020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137660 (or 5137658 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 102753020 is about 10136.7164308764. The cubic root of 102753020 is about 468.3798447859.

The spelling of 102753020 in words is "one hundred two million, seven hundred fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 5137651 10275302 20550604 25688255 51376510 102753020