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86797720 = 23547137337
BaseRepresentation
bin1010010110001…
…10110110011000
320001022210002101
411023012312120
5134210011340
612340213144
72102524402
oct513066630
9201283071
1086797720
1144aa4459
122509a1b4
1314ca04c9
14b755b72
157947c9a
hex52c6d98

86797720 has 64 divisors (see below), whose sum is σ = 201502080. Its totient is φ = 33632256.

The previous prime is 86797703. The next prime is 86797721. The reversal of 86797720 is 2779768.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86797721) by changing a digit.

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, 257392 + ... + 257728.

It is an arithmetic number, because the mean of its divisors is an integer number (3148470).

Almost surely, 286797720 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 86797720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100751040).

86797720 is an abundant number, since it is smaller than the sum of its proper divisors (114704360).

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

86797720 is a wasteful number, since it uses less digits than its factorization.

86797720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The square root of 86797720 is about 9316.5293967228. The cubic root of 86797720 is about 442.7610809928.

The spelling of 86797720 in words is "eighty-six million, seven hundred ninety-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 137 188 235 274 337 376 470 548 674 685 940 1096 1348 1370 1685 1880 2696 2740 3370 5480 6439 6740 12878 13480 15839 25756 31678 32195 46169 51512 63356 64390 79195 92338 126712 128780 158390 184676 230845 257560 316780 369352 461690 633560 923380 1846760 2169943 4339886 8679772 10849715 17359544 21699430 43398860 86797720