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86989410 = 23351931547
BaseRepresentation
bin1010010111101…
…01101001100010
320001200112001000
411023311221202
5134232130120
612344252430
72104253304
oct513655142
9201615030
1086989410
1145115482
1225171116
1315039831
14b7a5974
157984990
hex52f5a62

86989410 has 128 divisors (see below), whose sum is σ = 252518400. Its totient is φ = 21228480.

The previous prime is 86989403. The next prime is 86989411. The reversal of 86989410 is 1498968.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86989411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158757 + ... + 159303.

It is an arithmetic number, because the mean of its divisors is an integer number (1972800).

Almost surely, 286989410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86989410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126259200).

86989410 is an abundant number, since it is smaller than the sum of its proper divisors (165528990).

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

86989410 is a wasteful number, since it uses less digits than its factorization.

86989410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 86989410 is about 9326.8113522254. The cubic root of 86989410 is about 443.0867825914.

The spelling of 86989410 in words is "eighty-six million, nine hundred eighty-nine thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 31 38 45 54 57 62 90 93 95 114 135 155 171 186 190 270 279 285 310 342 465 513 547 558 570 589 837 855 930 1026 1094 1178 1395 1641 1674 1710 1767 2565 2735 2790 2945 3282 3534 4185 4923 5130 5301 5470 5890 8205 8370 8835 9846 10393 10602 14769 15903 16410 16957 17670 20786 24615 26505 29538 31179 31806 33914 49230 50871 51965 53010 62358 73845 79515 84785 93537 101742 103930 147690 152613 155895 159030 169570 187074 254355 280611 305226 311790 322183 457839 467685 508710 561222 644366 763065 915678 935370 966549 1403055 1526130 1610915 1933098 2289195 2806110 2899647 3221830 4578390 4832745 5799294 8698941 9665490 14498235 17397882 28996470 43494705 86989410