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86748740 = 225131093061
BaseRepresentation
bin1010010101110…
…10111001000100
320001020021220022
411022322321010
5134201424430
612335154312
72102231531
oct512727104
9201207808
1086748740
1144a70681
1225075998
1314c84120
14b741d88
1579384e5
hex52bae44

86748740 has 48 divisors (see below), whose sum is σ = 198050160. Its totient is φ = 31726080.

The previous prime is 86748721. The next prime is 86748751. The reversal of 86748740 is 4784768.

It can be written as a sum of positive squares in 8 ways, for example, as 1223236 + 85525504 = 1106^2 + 9248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86748691 and 86748700.

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, 26810 + ... + 29870.

It is an arithmetic number, because the mean of its divisors is an integer number (4126045).

Almost surely, 286748740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86748740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99025080).

86748740 is an abundant number, since it is smaller than the sum of its proper divisors (111301420).

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

86748740 is a wasteful number, since it uses less digits than its factorization.

86748740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The square root of 86748740 is about 9313.9003645090. The cubic root of 86748740 is about 442.6777818837.

The spelling of 86748740 in words is "eighty-six million, seven hundred forty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 2180 2834 3061 5668 6122 7085 12244 14170 15305 28340 30610 39793 61220 79586 159172 198965 333649 397930 667298 795860 1334596 1668245 3336490 4337437 6672980 8674874 17349748 21687185 43374370 86748740