Search a number
-
+
20821280 = 255179727
BaseRepresentation
bin100111101101…
…1010100100000
31110011211102112
41033123110200
520312240110
62022134452
7341656304
oct117332440
943154375
1020821280
1110831377
126b81428
1344101ac
142a9dd04
151c64405
hex13db520

20821280 has 48 divisors (see below), whose sum is σ = 49533120. Its totient is φ = 8270592.

The previous prime is 20821261. The next prime is 20821291. The reversal of 20821280 is 8212802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28277 + ... + 29003.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 220821280 is an apocalyptic number.

20821280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20821280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

20821280 is an abundant number, since it is smaller than the sum of its proper divisors (28711840).

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

20821280 is a wasteful number, since it uses less digits than its factorization.

20821280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 20821280 is about 4563.0340783299. The cubic root of 20821280 is about 275.1075281977.

The spelling of 20821280 in words is "twenty million, eight hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 179 358 716 727 895 1432 1454 1790 2864 2908 3580 3635 5728 5816 7160 7270 11632 14320 14540 23264 28640 29080 58160 116320 130133 260266 520532 650665 1041064 1301330 2082128 2602660 4164256 5205320 10410640 20821280