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86678190 = 232519173293
BaseRepresentation
bin1010010101010…
…01101010101110
320001002201010100
411022221222232
5134142200230
612333451530
72101516044
oct512515256
9201081110
1086678190
1144a22675
1225040ba6
1314c5ac91
14b724394
157922660
hex52a9aae

86678190 has 96 divisors (see below), whose sum is σ = 239410080. Its totient is φ = 21696768.

The previous prime is 86678173. The next prime is 86678203. The reversal of 86678190 is 9187668.

It is a happy number.

It is a super-2 number, since 2×866781902 = 15026217243352200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295684 + ... + 295976.

It is an arithmetic number, because the mean of its divisors is an integer number (2493855).

Almost surely, 286678190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86678190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119705040).

86678190 is an abundant number, since it is smaller than the sum of its proper divisors (152731890).

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

86678190 is a wasteful number, since it uses less digits than its factorization.

86678190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 86678190 is about 9310.1122442213. The cubic root of 86678190 is about 442.5577440683.

It can be divided in two parts, 86678 and 190, that added together give a palindrome (86868).

The spelling of 86678190 in words is "eighty-six million, six hundred seventy-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 173 190 285 293 342 346 519 570 586 855 865 879 1038 1465 1557 1710 1730 1758 2595 2637 2930 3114 3287 4395 5190 5274 5567 6574 7785 8790 9861 11134 13185 15570 16435 16701 19722 26370 27835 29583 32870 33402 49305 50103 50689 55670 59166 83505 98610 100206 101378 147915 152067 167010 250515 253445 295830 304134 456201 501030 506890 760335 912402 963091 1520670 1926182 2281005 2889273 4562010 4815455 5778546 8667819 9630910 14446365 17335638 28892730 43339095 86678190