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86883030 = 23451337223
BaseRepresentation
bin1010010110110…
…11101011010110
320001111010010000
411023123223112
5134220224110
612342112130
72103331203
oct513335326
9201433100
1086883030
1145052563
122511b646
13150002a0
14b778caa
1579631c0
hex52dbad6

86883030 has 160 divisors (see below), whose sum is σ = 259547904. Its totient is φ = 20715264.

The previous prime is 86883023. The next prime is 86883031. The reversal of 86883030 is 3038868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86883031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 389499 + ... + 389721.

Almost surely, 286883030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86883030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129773952).

86883030 is an abundant number, since it is smaller than the sum of its proper divisors (172664874).

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

86883030 is a wasteful number, since it uses less digits than its factorization.

86883030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86883030 is about 9321.1066939500. The cubic root of 86883030 is about 442.9060908684.

The spelling of 86883030 in words is "eighty-six million, eight hundred eighty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 37 39 45 54 65 74 78 81 90 111 117 130 135 162 185 195 222 223 234 270 333 351 370 390 405 446 481 555 585 666 669 702 810 962 999 1053 1110 1115 1170 1338 1443 1665 1755 1998 2007 2106 2230 2405 2886 2899 2997 3330 3345 3510 4014 4329 4810 4995 5265 5798 5994 6021 6690 7215 8251 8658 8697 9990 10035 10530 12042 12987 14430 14495 14985 16502 17394 18063 20070 21645 24753 25974 26091 28990 29970 30105 36126 38961 41255 43290 43485 49506 52182 60210 64935 74259 77922 78273 82510 86970 90315 107263 123765 129870 130455 148518 156546 180630 194805 214526 222777 234819 247530 260910 321789 371295 389610 391365 445554 469638 536315 643578 668331 742590 782730 965367 1072630 1113885 1174095 1336662 1608945 1930734 2227770 2348190 2896101 3217890 3341655 4826835 5792202 6683310 8688303 9653670 14480505 17376606 28961010 43441515 86883030