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83138130 = 2335307919
BaseRepresentation
bin1001111010010…
…01011001010010
312210102212002000
410331021121102
5132240410010
612125534430
72026443135
oct475113122
9183385060
1083138130
1142a249a9
1223a14416
13142bb87a
14b08221c
1574737c0
hex4f49652

83138130 has 32 divisors (see below), whose sum is σ = 221702400. Its totient is φ = 22170096.

The previous prime is 83138113. The next prime is 83138131. The reversal of 83138130 is 3183138.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 83138094 and 83138103.

It is not an unprimeable number, because it can be changed into a prime (83138131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153690 + ... + 154229.

It is an arithmetic number, because the mean of its divisors is an integer number (6928200).

Almost surely, 283138130 is an apocalyptic number.

83138130 is an abundant number, since it is smaller than the sum of its proper divisors (138564270).

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

83138130 is a wasteful number, since it uses less digits than its factorization.

83138130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307935 (or 307929 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 83138130 is about 9118.0112963299. The cubic root of 83138130 is about 436.4489140861.

The spelling of 83138130 in words is "eighty-three million, one hundred thirty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 307919 615838 923757 1539595 1847514 2771271 3079190 4618785 5542542 8313813 9237570 13856355 16627626 27712710 41569065 83138130