Search a number
-
+
86770620 = 223251972447
BaseRepresentation
bin1010010110000…
…00001110111100
320001021101220200
411023000032330
5134203124440
612335443500
72102352366
oct513001674
9201241820
1086770620
1144a86062
1225086590
1314c91081
14b749d36
15793ec30
hex52c03bc

86770620 has 72 divisors (see below), whose sum is σ = 264648384. Its totient is φ = 23011968.

The previous prime is 86770613. The next prime is 86770667. The reversal of 86770620 is 2607768.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34237 + ... + 36683.

It is an arithmetic number, because the mean of its divisors is an integer number (3675672).

Almost surely, 286770620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86770620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132324192).

86770620 is an abundant number, since it is smaller than the sum of its proper divisors (177877764).

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

86770620 is a wasteful number, since it uses less digits than its factorization.

86770620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 86770620 is about 9315.0748789261. The cubic root of 86770620 is about 442.7149965478.

The spelling of 86770620 in words is "eighty-six million, seven hundred seventy thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2447 2955 3546 3940 4894 5910 7092 7341 8865 9788 11820 12235 14682 17730 22023 24470 29364 35460 36705 44046 48940 73410 88092 110115 146820 220230 440460 482059 964118 1446177 1928236 2410295 2892354 4338531 4820590 5784708 7230885 8677062 9641180 14461770 17354124 21692655 28923540 43385310 86770620