Search a number
-
+
83162640 = 243511172109
BaseRepresentation
bin1001111010011…
…11011000010000
312210111002200210
410331033120100
5132242201030
612130244120
72026604451
oct475173020
9183432623
1083162640
1142a41360
1223a26640
13142c9a82
14b08b128
15747abb0
hex4f4f610

83162640 has 240 divisors, whose sum is σ = 301498560. Its totient is φ = 18800640.

The previous prime is 83162627. The next prime is 83162669. The reversal of 83162640 is 4626138.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 83162598 and 83162607.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 762906 + ... + 763014.

It is an arithmetic number, because the mean of its divisors is an integer number (1256244).

Almost surely, 283162640 is an apocalyptic number.

83162640 is a gapful number since it is divisible by the number (80) 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 83162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150749280).

83162640 is an abundant number, since it is smaller than the sum of its proper divisors (218335920).

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

83162640 is a wasteful number, since it uses less digits than its factorization.

83162640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 83162640 is about 9119.3552403665. The cubic root of 83162640 is about 436.4917997906.

Adding to 83162640 its reverse (4626138), we get a palindrome (87788778).

The spelling of 83162640 in words is "eighty-three million, one hundred sixty-two thousand, six hundred forty".