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86391630 = 233513151163
BaseRepresentation
bin1010010011000…
…11101101001110
320000120011001000
411021203231032
5134104013010
612323401130
72066213433
oct511435516
9200504030
1086391630
1144847346
1224b231a6
1314b8a710
14b68bb8a
1578b77c0
hex5263b4e

86391630 has 128 divisors (see below), whose sum is σ = 251274240. Its totient is φ = 20995200.

The previous prime is 86391619. The next prime is 86391647. The reversal of 86391630 is 3619368.

It is a happy number.

86391630 is a `hidden beast` number, since 8 + 639 + 16 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 529929 + ... + 530091.

It is an arithmetic number, because the mean of its divisors is an integer number (1963080).

Almost surely, 286391630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86391630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125637120).

86391630 is an abundant number, since it is smaller than the sum of its proper divisors (164882610).

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

86391630 is a wasteful number, since it uses less digits than its factorization.

86391630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 86391630 is about 9294.7097856792. The cubic root of 86391630 is about 442.0695037538.

The spelling of 86391630 in words is "eighty-six million, three hundred ninety-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 151 163 195 234 270 302 326 351 390 453 489 585 702 755 815 906 978 1170 1359 1467 1510 1630 1755 1963 2119 2265 2445 2718 2934 3510 3926 4077 4238 4401 4530 4890 5889 6357 6795 7335 8154 8802 9815 10595 11778 12714 13590 14670 17667 19071 19630 20385 21190 22005 24613 29445 31785 35334 38142 40770 44010 49226 53001 57213 58890 63570 73839 88335 95355 106002 114426 123065 147678 176670 190710 221517 246130 265005 286065 319969 369195 443034 530010 572130 639938 664551 738390 959907 1107585 1329102 1599845 1919814 2215170 2879721 3199690 3322755 4799535 5759442 6645510 8639163 9599070 14398605 17278326 28797210 43195815 86391630