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83467040 = 255521669
BaseRepresentation
bin1001111100110…
…01101100100000
312211001120020212
410332121230200
5132331421130
612140553252
72032313066
oct476315440
9184046225
1083467040
114312a028
1223b52828
13143a54a7
14b12a036
1574dae95
hex4f99b20

83467040 has 24 divisors (see below), whose sum is σ = 197191260. Its totient is φ = 33386752.

The previous prime is 83467031. The next prime is 83467061. The reversal of 83467040 is 4076438.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80066704 + 3400336 = 8948^2 + 1844^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 83466988 and 83467006.

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 3 ways as a sum of consecutive naturals, for example, 260675 + ... + 260994.

Almost surely, 283467040 is an apocalyptic number.

83467040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83467040 is an abundant number, since it is smaller than the sum of its proper divisors (113724220).

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

83467040 is a wasteful number, since it uses less digits than its factorization.

83467040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521684 (or 521676 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 83467040 is about 9136.0297722807. The cubic root of 83467040 is about 437.0237146041.

The spelling of 83467040 in words is "eighty-three million, four hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 521669 1043338 2086676 2608345 4173352 5216690 8346704 10433380 16693408 20866760 41733520 83467040