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86036790 = 23572347379
BaseRepresentation
bin1010010000011…
…01000100110110
312222220010021210
411020031010312
5134011134130
612312022250
72063205060
oct510150466
9188803253
1086036790
1144624794
1224991986
1314a95058
14b5d8730
1578475b0
hex520d136

86036790 has 128 divisors (see below), whose sum is σ = 252149760. Its totient is φ = 18361728.

The previous prime is 86036789. The next prime is 86036791. The reversal of 86036790 is 9763068.

It is an interprime number because it is at equal distance from previous prime (86036789) and next prime (86036791).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86036791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226821 + ... + 227199.

It is an arithmetic number, because the mean of its divisors is an integer number (1969920).

Almost surely, 286036790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86036790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126074880).

86036790 is an abundant number, since it is smaller than the sum of its proper divisors (166112970).

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

86036790 is a wasteful number, since it uses less digits than its factorization.

86036790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 86036790 is about 9275.6018672645. The cubic root of 86036790 is about 441.4634296130.

The spelling of 86036790 in words is "eighty-six million, thirty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 47 69 70 94 105 115 138 141 161 210 230 235 282 322 329 345 379 470 483 658 690 705 758 805 966 987 1081 1137 1410 1610 1645 1895 1974 2162 2274 2415 2653 3243 3290 3790 4830 4935 5306 5405 5685 6486 7567 7959 8717 9870 10810 11370 13265 15134 15918 16215 17434 17813 22701 26151 26530 32430 35626 37835 39795 43585 45402 52302 53439 61019 75670 79590 87170 89065 106878 113505 122038 124691 130755 178130 183057 227010 249382 261510 267195 305095 366114 374073 409699 534390 610190 623455 748146 819398 915285 1229097 1246910 1830570 1870365 2048495 2458194 2867893 3740730 4096990 5735786 6145485 8603679 12290970 14339465 17207358 28678930 43018395 86036790