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86705740 = 225111920743
BaseRepresentation
bin1010010101100…
…00011001001100
320001011002220201
411022300121030
5134144040430
612334223244
72101662262
oct512603114
9201132821
1086705740
1144a41340
1225054b24
1314c6a694
14b730432
15792a8ca
hex52b064c

86705740 has 48 divisors (see below), whose sum is σ = 209099520. Its totient is φ = 29868480.

The previous prime is 86705711. The next prime is 86705743. The reversal of 86705740 is 4750768.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86705740.

It is not an unprimeable number, because it can be changed into a prime (86705743) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6192 + ... + 14551.

It is an arithmetic number, because the mean of its divisors is an integer number (4356240).

Almost surely, 286705740 is an apocalyptic number.

It is an amenable number.

86705740 is an abundant number, since it is smaller than the sum of its proper divisors (122393780).

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

86705740 is a wasteful number, since it uses less digits than its factorization.

86705740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20782 (or 20780 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 86705740 is about 9311.5917006707. The cubic root of 86705740 is about 442.6046269667.

The spelling of 86705740 in words is "eighty-six million, seven hundred five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 20743 41486 82972 103715 207430 228173 394117 414860 456346 788234 912692 1140865 1576468 1970585 2281730 3941170 4335287 4563460 7882340 8670574 17341148 21676435 43352870 86705740