Search a number
-
+
21135800 = 2352731487
BaseRepresentation
bin101000010100…
…0000110111000
31110202210212102
41100220012320
520402321200
62033002532
7344436260
oct120500670
943683772
1021135800
1110a26704
1270b3448
1344c03ba
142b427a0
151cc76d5
hex14281b8

21135800 has 96 divisors (see below), whose sum is σ = 58091520. Its totient is φ = 6998400.

The previous prime is 21135797. The next prime is 21135823. The reversal of 21135800 is 853112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43157 + ... + 43643.

It is an arithmetic number, because the mean of its divisors is an integer number (605120).

Almost surely, 221135800 is an apocalyptic number.

21135800 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 21135800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29045760).

21135800 is an abundant number, since it is smaller than the sum of its proper divisors (36955720).

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

21135800 is a wasteful number, since it uses less digits than its factorization.

21135800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 21135800 is about 4597.3688127015. The cubic root of 21135800 is about 276.4858417453.

Adding to 21135800 its reverse (853112), we get a palindrome (21988912).

The spelling of 21135800 in words is "twenty-one million, one hundred thirty-five thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 487 620 700 775 868 974 1085 1240 1400 1550 1736 1948 2170 2435 3100 3409 3896 4340 4870 5425 6200 6818 8680 9740 10850 12175 13636 15097 17045 19480 21700 24350 27272 30194 34090 43400 48700 60388 68180 75485 85225 97400 105679 120776 136360 150970 170450 211358 301940 340900 377425 422716 528395 603880 681800 754850 845432 1056790 1509700 2113580 2641975 3019400 4227160 5283950 10567900 21135800