Search a number
-
+
21320000 = 26541341
BaseRepresentation
bin101000101010…
…1000101000000
31111010011112122
41101111011000
520424220000
62040543412
7346134302
oct121250500
944104478
1021320000
1111042039
127181b68
1345561b0
142b8d972
151d12085
hex1455140

21320000 has 140 divisors (see below), whose sum is σ = 58321956. Its totient is φ = 7680000.

The previous prime is 21319997. The next prime is 21320021. The reversal of 21320000 is 2312.

It can be written as a sum of positive squares in 10 ways, for example, as 21307456 + 12544 = 4616^2 + 112^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 21320000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 519980 + ... + 520020.

Almost surely, 221320000 is an apocalyptic number.

21320000 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 21320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29160978).

21320000 is an abundant number, since it is smaller than the sum of its proper divisors (37001956).

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

21320000 is an equidigital number, since it uses as much as digits as its factorization.

21320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 21320000 is about 4617.3585522461. The cubic root of 21320000 is about 277.2867175924.

Adding to 21320000 its reverse (2312), we get a palindrome (21322312).

The spelling of 21320000 in words is "twenty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 41 50 52 64 65 80 82 100 104 125 130 160 164 200 205 208 250 260 320 325 328 400 410 416 500 520 533 625 650 656 800 820 832 1000 1025 1040 1066 1250 1300 1312 1600 1625 1640 2000 2050 2080 2132 2500 2600 2624 2665 3250 3280 4000 4100 4160 4264 5000 5125 5200 5330 6500 6560 8000 8125 8200 8528 10000 10250 10400 10660 13000 13120 13325 16250 16400 17056 20000 20500 20800 21320 25625 26000 26650 32500 32800 34112 40000 41000 42640 51250 52000 53300 65000 65600 66625 82000 85280 102500 104000 106600 130000 133250 164000 170560 205000 213200 260000 266500 328000 333125 410000 426400 520000 533000 666250 820000 852800 1066000 1332500 1640000 2132000 2665000 4264000 5330000 10660000 21320000