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86303070 = 2345731491
BaseRepresentation
bin1010010010011…
…10000101011110
320000101122120000
411021032011132
5134043144240
612321435130
72065364310
oct511160536
9200348500
1086303070
1144796857
1224a9baa6
1314b59309
14b6677b0
15789b430
hex524e15e

86303070 has 160 divisors (see below), whose sum is σ = 274323456. Its totient is φ = 19051200.

The previous prime is 86303069. The next prime is 86303071. The reversal of 86303070 is 7030368.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86303069) and next prime (86303071).

It is a super-3 number, since 3×863030703 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86303071) 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 79 ways as a sum of consecutive naturals, for example, 175525 + ... + 176015.

Almost surely, 286303070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86303070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137161728).

86303070 is an abundant number, since it is smaller than the sum of its proper divisors (188020386).

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

86303070 is a wasteful number, since it uses less digits than its factorization.

86303070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 86303070 is about 9289.9445638820. The cubic root of 86303070 is about 441.9183970617.

The spelling of 86303070 in words is "eighty-six million, three hundred three thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 81 90 93 105 126 135 155 162 186 189 210 217 270 279 310 315 378 405 434 465 491 558 567 630 651 810 837 930 945 982 1085 1134 1302 1395 1473 1674 1890 1953 2170 2455 2511 2790 2835 2946 3255 3437 3906 4185 4419 4910 5022 5670 5859 6510 6874 7365 8370 8838 9765 10311 11718 12555 13257 14730 15221 17185 17577 19530 20622 22095 25110 26514 29295 30442 30933 34370 35154 39771 44190 45663 51555 58590 61866 66285 76105 79542 87885 91326 92799 103110 106547 132570 136989 152210 154665 175770 185598 198855 213094 228315 273978 278397 309330 319641 397710 410967 456630 463995 532735 556794 639282 684945 821934 927990 958923 1065470 1232901 1369890 1391985 1598205 1917846 2054835 2465802 2783970 2876769 3196410 4109670 4794615 5753538 6164505 8630307 9589230 12329010 14383845 17260614 28767690 43151535 86303070