Search a number
-
+
86676100 = 225274192
BaseRepresentation
bin1010010101010…
…01001010000100
320001002121020221
411022221022010
5134142113400
612333434124
72101510000
oct512511204
9201077227
1086676100
1144a21045
122503b944
1314c5a044
14b723700
157921c1a
hex52a9284

86676100 has 135 divisors (see below), whose sum is σ = 231578277. Its totient is φ = 28153440.

The previous prime is 86676071. The next prime is 86676101. The reversal of 86676100 is 167668.

The square root of 86676100 is 9310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31203396 + 55472704 = 5586^2 + 7448^2 .

It is a super-2 number, since 2×866761002 = 15025492622420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86676101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4561891 + ... + 4561909.

Almost surely, 286676100 is an apocalyptic number.

86676100 is the 9310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86676100

86676100 is an abundant number, since it is smaller than the sum of its proper divisors (144902177).

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

86676100 is a wasteful number, since it uses less digits than its factorization.

86676100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The cubic root of 86676100 is about 442.5541870293.

The spelling of 86676100 in words is "eighty-six million, six hundred seventy-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 49 50 70 76 95 98 100 133 140 175 190 196 245 266 343 350 361 380 475 490 532 665 686 700 722 931 950 980 1225 1330 1372 1444 1715 1805 1862 1900 2401 2450 2527 2660 3325 3430 3610 3724 4655 4802 4900 5054 6517 6650 6860 7220 8575 9025 9310 9604 10108 12005 12635 13034 13300 17150 17689 18050 18620 23275 24010 25270 26068 32585 34300 35378 36100 45619 46550 48020 50540 60025 63175 65170 70756 88445 91238 93100 120050 123823 126350 130340 162925 176890 182476 228095 240100 247646 252700 325850 353780 442225 456190 495292 619115 651700 866761 884450 912380 1140475 1238230 1733522 1768900 2280950 2476460 3095575 3467044 4333805 4561900 6191150 8667610 12382300 17335220 21669025 43338050 86676100