Search a number
-
+
21163200 = 263524409
BaseRepresentation
bin101000010111…
…0110011000000
31110211012110020
41100232303000
520404210300
62033333440
7344612202
oct120566300
943735406
1021163200
1110a45253
127107280
1344cca06
142b4c772
151cd08a0
hex142ecc0

21163200 has 84 divisors (see below), whose sum is σ = 69448680. Its totient is φ = 5642240.

The previous prime is 21163199. The next prime is 21163201. The reversal of 21163200 is 236112.

It is an interprime number because it is at equal distance from previous prime (21163199) and next prime (21163201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21163200.

It is not an unprimeable number, because it can be changed into a prime (21163201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2596 + ... + 7004.

It is an arithmetic number, because the mean of its divisors is an integer number (826770).

Almost surely, 221163200 is an apocalyptic number.

21163200 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 21163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34724340).

21163200 is an abundant number, since it is smaller than the sum of its proper divisors (48285480).

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

21163200 is a wasteful number, since it uses less digits than its factorization.

21163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 21163200 is about 4600.3478129376. The cubic root of 21163200 is about 276.6052669348.

Adding to 21163200 its reverse (236112), we get a palindrome (21399312).

The spelling of 21163200 in words is "twenty-one million, one hundred sixty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4409 4800 8818 13227 17636 22045 26454 35272 44090 52908 66135 70544 88180 105816 110225 132270 141088 176360 211632 220450 264540 282176 330675 352720 423264 440900 529080 661350 705440 846528 881800 1058160 1322700 1410880 1763600 2116320 2645400 3527200 4232640 5290800 7054400 10581600 21163200