Search a number
-
+
80830656 = 2633291613
BaseRepresentation
bin1001101000101…
…10000011000000
312122002121211000
410310112003000
5131143040111
612004252000
72001022614
oct464260300
9178077730
1080830656
11416992a5
12230a1000
13139914ba
14aa41344
157169c56
hex4d160c0

80830656 has 112 divisors (see below), whose sum is σ = 245973600. Its totient is φ = 25998336.

The previous prime is 80830643. The next prime is 80830657. The reversal of 80830656 is 65603808.

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

It is a self number, because there is not a number n which added to its sum of digits gives 80830656.

It is not an unprimeable number, because it can be changed into a prime (80830657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49306 + ... + 50918.

Almost surely, 280830656 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 80830656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122986800).

80830656 is an abundant number, since it is smaller than the sum of its proper divisors (165142944).

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

80830656 is a wasteful number, since it uses less digits than its factorization.

80830656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 80830656 is about 8990.5870776051. The cubic root of 80830656 is about 432.3731344073.

The spelling of 80830656 in words is "eighty million, eight hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1613 1728 1856 2088 2784 3132 3226 4176 4839 5568 6264 6452 8352 9678 12528 12904 14517 16704 19356 25056 25808 29034 38712 43551 46777 50112 51616 58068 77424 87102 93554 103232 116136 140331 154848 174204 187108 232272 280662 309696 348408 374216 420993 464544 561324 696816 748432 841986 929088 1122648 1262979 1393632 1496864 1683972 2245296 2525958 2787264 2993728 3367944 4490592 5051916 6735888 8981184 10103832 13471776 20207664 26943552 40415328 80830656