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86747490 = 23352361229
BaseRepresentation
bin1010010101110…
…10100101100010
320001020020012000
411022322211202
5134201404430
612335144430
72102225064
oct512724542
9201206160
1086747490
1144a6a745
1225075116
1314c8369b
14b741734
157937e60
hex52ba962

86747490 has 128 divisors (see below), whose sum is σ = 246412800. Its totient is φ = 21669120.

The previous prime is 86747489. The next prime is 86747509. The reversal of 86747490 is 9474768.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378696 + ... + 378924.

It is an arithmetic number, because the mean of its divisors is an integer number (1925100).

Almost surely, 286747490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86747490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123206400).

86747490 is an abundant number, since it is smaller than the sum of its proper divisors (159665310).

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

86747490 is a wasteful number, since it uses less digits than its factorization.

86747490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 86747490 is about 9313.8332602640. The cubic root of 86747490 is about 442.6756556285.

The spelling of 86747490 in words is "eighty-six million, seven hundred forty-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 61 69 90 115 122 135 138 183 207 229 230 270 305 345 366 414 458 549 610 621 687 690 915 1035 1098 1145 1242 1374 1403 1647 1830 2061 2070 2290 2745 2806 3105 3294 3435 4122 4209 5267 5490 6183 6210 6870 7015 8235 8418 10305 10534 12366 12627 13969 14030 15801 16470 20610 21045 25254 26335 27938 30915 31602 37881 41907 42090 47403 52670 61830 63135 69845 75762 79005 83814 94806 125721 126270 139690 142209 158010 189405 209535 237015 251442 284418 321287 377163 378810 419070 474030 628605 642574 711045 754326 963861 1257210 1422090 1606435 1885815 1927722 2891583 3212870 3771630 4819305 5783166 8674749 9638610 14457915 17349498 28915830 43373745 86747490