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86939034 = 23721323243
BaseRepresentation
bin1010010111010…
…01010110011010
320001120221221020
411023221112122
5134224022114
612343223310
72103653400
oct513512632
9201527836
1086939034
1145090646
1225147b36
131501c920
14b791470
157974aa9
hex52e959a

86939034 has 144 divisors (see below), whose sum is σ = 233003232. Its totient is φ = 21422016.

The previous prime is 86939033. The next prime is 86939053. The reversal of 86939034 is 43093968.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86939033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2021817 + ... + 2021859.

It is an arithmetic number, because the mean of its divisors is an integer number (1618078).

Almost surely, 286939034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86939034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116501616).

86939034 is an abundant number, since it is smaller than the sum of its proper divisors (146064198).

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

86939034 is a wasteful number, since it uses less digits than its factorization.

86939034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 86939034 is about 9324.1103597072. The cubic root of 86939034 is about 443.0012348224.

It can be divided in two parts, 869 and 39034, that added together give a triangular number (39903 = T282).

The spelling of 86939034 in words is "eighty-six million, nine hundred thirty-nine thousand, thirty-four".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 43 46 49 69 78 86 91 98 129 138 147 161 182 258 273 294 299 301 322 483 529 546 559 598 602 637 897 903 966 989 1058 1118 1127 1274 1587 1677 1794 1806 1911 1978 2093 2107 2254 2967 3174 3354 3381 3703 3822 3913 4186 4214 5934 6279 6321 6762 6877 6923 7406 7826 11109 11739 12558 12642 12857 13754 13846 14651 20631 20769 22218 22747 23478 25714 25921 27391 29302 38571 41262 41538 43953 45494 48139 48461 51842 54782 68241 77142 77763 82173 87906 89999 96278 96922 136482 144417 145383 155526 159229 164346 179998 269997 288834 290766 295711 318458 336973 477687 539994 591422 629993 673946 887133 955374 1010919 1114603 1259986 1774266 1889979 2021838 2069977 2229206 3343809 3779958 4139954 6209931 6687618 12419862 14489839 28979678 43469517 86939034