[go: up one dir, main page]

Search a number
-
+
80656020 = 22335413643
BaseRepresentation
bin1001100111010…
…11011010010100
312121202202021000
410303223122110
5131121443040
612000423300
71666364514
oct463533224
9177682230
1080656020
114158a075
1223017b30
131392cb73
14a9d7844
157133130
hex4ceb694

80656020 has 96 divisors (see below), whose sum is σ = 257120640. Its totient is φ = 20977920.

The previous prime is 80656019. The next prime is 80656039. The reversal of 80656020 is 2065608.

80656020 is a `hidden beast` number, since 8 + 0 + 656 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20319 + ... + 23961.

It is an arithmetic number, because the mean of its divisors is an integer number (2678340).

Almost surely, 280656020 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 80656020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128560320).

80656020 is an abundant number, since it is smaller than the sum of its proper divisors (176464620).

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

80656020 is a wasteful number, since it uses less digits than its factorization.

80656020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 80656020 is about 8980.8696683562. The cubic root of 80656020 is about 432.0615267306.

It can be divided in two parts, 80 and 656020, that added together give a square (656100 = 8102).

The spelling of 80656020 in words is "eighty million, six hundred fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3643 3690 4428 5535 7286 7380 10929 11070 14572 18215 21858 22140 32787 36430 43716 54645 65574 72860 98361 109290 131148 149363 163935 196722 218580 298726 327870 393444 448089 491805 597452 655740 746815 896178 983610 1344267 1493630 1792356 1967220 2240445 2688534 2987260 4032801 4480890 5377068 6721335 8065602 8961780 13442670 16131204 20164005 26885340 40328010 80656020