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86353290 = 23451931181
BaseRepresentation
bin1010010010110…
…10010110001010
320000111012110000
411021122112022
5134101301130
612322503430
72065663602
oct511322612
9200435400
1086353290
1144820561
1224b04b76
1314b7612a
14b67bc02
1578ab260
hex525a58a

86353290 has 160 divisors (see below), whose sum is σ = 253693440. Its totient is φ = 20995200.

The previous prime is 86353279. The next prime is 86353307. The reversal of 86353290 is 9235368.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 477000 + ... + 477180.

It is an arithmetic number, because the mean of its divisors is an integer number (1585584).

Almost surely, 286353290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86353290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126846720).

86353290 is an abundant number, since it is smaller than the sum of its proper divisors (167340150).

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

86353290 is a wasteful number, since it uses less digits than its factorization.

86353290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 86353290 is about 9292.6470932668. The cubic root of 86353290 is about 442.0040982947.

The spelling of 86353290 in words is "eighty-six million, three hundred fifty-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 31 38 45 54 57 62 81 90 93 95 114 135 155 162 171 181 186 190 270 279 285 310 342 362 405 465 513 543 558 570 589 810 837 855 905 930 1026 1086 1178 1395 1539 1629 1674 1710 1767 1810 2511 2565 2715 2790 2945 3078 3258 3439 3534 4185 4887 5022 5130 5301 5430 5611 5890 6878 7695 8145 8370 8835 9774 10317 10602 11222 12555 14661 15390 15903 16290 16833 17195 17670 20634 24435 25110 26505 28055 29322 30951 31806 33666 34390 47709 48870 50499 51585 53010 56110 61902 73305 79515 84165 92853 95418 100998 103170 106609 146610 151497 154755 159030 168330 185706 213218 238545 252495 278559 302994 309510 319827 454491 464265 477090 504990 533045 557118 639654 757485 908982 928530 959481 1066090 1392795 1514970 1599135 1918962 2272455 2785590 2878443 3198270 4544910 4797405 5756886 8635329 9594810 14392215 17270658 28784430 43176645 86353290