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86739660 = 2234577649
BaseRepresentation
bin1010010101110…
…00101011001100
320001012211110000
411022320223030
5134201132120
612335044300
72102163210
oct512705314
9201184400
1086739660
1144a64877
1225070690
1314c7cc57
14b73c940
157935990
hex52b8acc

86739660 has 120 divisors (see below), whose sum is σ = 311018400. Its totient is φ = 19823616.

The previous prime is 86739659. The next prime is 86739671. The reversal of 86739660 is 6693768.

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

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 39 ways as a sum of consecutive naturals, for example, 7516 + ... + 15164.

It is an arithmetic number, because the mean of its divisors is an integer number (2591820).

Almost surely, 286739660 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 86739660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155509200).

86739660 is an abundant number, since it is smaller than the sum of its proper divisors (224278740).

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

86739660 is a wasteful number, since it uses less digits than its factorization.

86739660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7677 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 86739660 is about 9313.4129082737. The cubic root of 86739660 is about 442.6623363010.

The spelling of 86739660 in words is "eighty-six million, seven hundred thirty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 7649 11340 15298 22947 30596 38245 45894 53543 68841 76490 91788 107086 114735 137682 152980 160629 206523 214172 229470 267715 275364 321258 344205 413046 458940 481887 535430 619569 642516 688410 803145 826092 963774 1032615 1070860 1239138 1376820 1445661 1606290 1927548 2065230 2409435 2478276 2891322 3097845 3212580 4130460 4336983 4818870 5782644 6195690 7228305 8673966 9637740 12391380 14456610 17347932 21684915 28913220 43369830 86739660