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86390010 = 23357431063
BaseRepresentation
bin1010010011000…
…11010011111010
320000120001211000
411021203103322
5134103440020
612323345430
72066205630
oct511432372
9200501730
1086390010
1144846103
1224b22276
1314b89a65
14b68b350
1578b7090
hex52634fa

86390010 has 128 divisors (see below), whose sum is σ = 269660160. Its totient is φ = 19268928.

The previous prime is 86389997. The next prime is 86390011. The reversal of 86390010 is 1009368.

86390010 = 17432 + 17442 + ... + 17702.

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

It is not an unprimeable number, because it can be changed into a prime (86390011) 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, 80739 + ... + 81801.

It is an arithmetic number, because the mean of its divisors is an integer number (2106720).

Almost surely, 286390010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86390010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134830080).

86390010 is an abundant number, since it is smaller than the sum of its proper divisors (183270150).

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

86390010 is a wasteful number, since it uses less digits than its factorization.

86390010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 86390010 is about 9294.6226389241. The cubic root of 86390010 is about 442.0667405344.

Adding to 86390010 its reverse (1009368), we get a palindrome (87399378).

The spelling of 86390010 in words is "eighty-six million, three hundred ninety thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 43 45 54 63 70 86 90 105 126 129 135 189 210 215 258 270 301 315 378 387 430 602 630 645 774 903 945 1063 1161 1290 1505 1806 1890 1935 2126 2322 2709 3010 3189 3870 4515 5315 5418 5805 6378 7441 8127 9030 9567 10630 11610 13545 14882 15945 16254 19134 22323 27090 28701 31890 37205 40635 44646 45709 47835 57402 66969 74410 81270 91418 95670 111615 133938 137127 143505 200907 223230 228545 274254 287010 319963 334845 401814 411381 457090 639926 669690 685635 822762 959889 1004535 1234143 1371270 1599815 1919778 2009070 2056905 2468286 2879667 3199630 4113810 4799445 5759334 6170715 8639001 9598890 12341430 14398335 17278002 28796670 43195005 86390010