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83010480 = 2435749411
BaseRepresentation
bin1001111001010…
…10001110110000
312210012100222020
410330222032300
5132222313410
612123111440
72025402030
oct474521660
9183170866
1083010480
1142948003
1223972580
1314275737
14b04b8c0
15744aa70
hex4f2a3b0

83010480 has 80 divisors (see below), whose sum is σ = 294100224. Its totient is φ = 18973440.

The previous prime is 83010479. The next prime is 83010503. The reversal of 83010480 is 8401038.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 83010480.

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 15 ways as a sum of consecutive naturals, for example, 23026 + ... + 26385.

Almost surely, 283010480 is an apocalyptic number.

83010480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83010480 is an abundant number, since it is smaller than the sum of its proper divisors (211089744).

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

83010480 is a wasteful number, since it uses less digits than its factorization.

83010480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49434 (or 49428 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 83010480 is about 9111.0087257120. The cubic root of 83010480 is about 436.2254256100.

The spelling of 83010480 in words is "eighty-three million, ten thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 49411 98822 148233 197644 247055 296466 345877 395288 494110 592932 691754 741165 790576 988220 1037631 1185864 1383508 1482330 1729385 1976440 2075262 2371728 2767016 2964660 3458770 3952880 4150524 5188155 5534032 5929320 6917540 8301048 10376310 11858640 13835080 16602096 20752620 27670160 41505240 83010480