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72086020 = 2253604301
BaseRepresentation
bin1000100101111…
…11001000000100
312000122100102121
410102333020010
5121423223040
611053015324
71533502216
oct422771004
9160570377
1072086020
1137766326
1220184544
1311c1c166
1498065b6
1564ddc4a
hex44bf204

72086020 has 12 divisors (see below), whose sum is σ = 151380684. Its totient is φ = 28834400.

The previous prime is 72086009. The next prime is 72086059. The reversal of 72086020 is 2068027.

It can be written as a sum of positive squares in 2 ways, for example, as 50239744 + 21846276 = 7088^2 + 4674^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1802131 + ... + 1802170.

It is an arithmetic number, because the mean of its divisors is an integer number (12615057).

Almost surely, 272086020 is an apocalyptic number.

It is an amenable number.

72086020 is an abundant number, since it is smaller than the sum of its proper divisors (79294664).

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

72086020 is a wasteful number, since it uses less digits than its factorization.

72086020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604310 (or 3604308 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 72086020 is about 8490.3486383069. The cubic root of 72086020 is about 416.1823735002.

The spelling of 72086020 in words is "seventy-two million, eighty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 3604301 7208602 14417204 18021505 36043010 72086020