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86738360 = 23537103569
BaseRepresentation
bin1010010101110…
…00010110111000
320001012202122212
411022320112320
5134201111420
612335034252
72102156342
oct512702670
9201182585
1086738360
1144a638a5
122506b988
1314c7c497
14b73c292
1579353c5
hex52b85b8

86738360 has 64 divisors (see below), whose sum is σ = 202737600. Its totient is φ = 33371136.

The previous prime is 86738339. The next prime is 86738371. The reversal of 86738360 is 6383768.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 152156 + ... + 152724.

It is an arithmetic number, because the mean of its divisors is an integer number (3167775).

Almost surely, 286738360 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 86738360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101368800).

86738360 is an abundant number, since it is smaller than the sum of its proper divisors (115999240).

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

86738360 is a wasteful number, since it uses less digits than its factorization.

86738360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 86738360 is about 9313.3431161962. The cubic root of 86738360 is about 442.6601248408.

The spelling of 86738360 in words is "eighty-six million, seven hundred thirty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 74 103 148 185 206 296 370 412 515 569 740 824 1030 1138 1480 2060 2276 2845 3811 4120 4552 5690 7622 11380 15244 19055 21053 22760 30488 38110 42106 58607 76220 84212 105265 117214 152440 168424 210530 234428 293035 421060 468856 586070 842120 1172140 2168459 2344280 4336918 8673836 10842295 17347672 21684590 43369180 86738360