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83164380 = 223513106621
BaseRepresentation
bin1001111010011…
…11110011011100
312210111012002020
410331033303130
5132242230010
612130300140
72026612515
oct475176334
9183435066
1083164380
1142a426a2
1223a27650
13142ca7c0
14b08ba0c
15747b470
hex4f4fcdc

83164380 has 48 divisors (see below), whose sum is σ = 250774944. Its totient is φ = 20471040.

The previous prime is 83164379. The next prime is 83164381. The reversal of 83164380 is 8346138.

It is an interprime number because it is at equal distance from previous prime (83164379) and next prime (83164381).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83164381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52531 + ... + 54090.

It is an arithmetic number, because the mean of its divisors is an integer number (5224478).

Almost surely, 283164380 is an apocalyptic number.

It is an amenable number.

83164380 is an abundant number, since it is smaller than the sum of its proper divisors (167610564).

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

83164380 is a wasteful number, since it uses less digits than its factorization.

83164380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106646 (or 106644 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 83164380 is about 9119.4506413490. The cubic root of 83164380 is about 436.4948439878.

The spelling of 83164380 in words is "eighty-three million, one hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 106621 213242 319863 426484 533105 639726 1066210 1279452 1386073 1599315 2132420 2772146 3198630 4158219 5544292 6397260 6930365 8316438 13860730 16632876 20791095 27721460 41582190 83164380