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21142248 = 23331157181
BaseRepresentation
bin101000010100…
…1101011101000
31110210010201020
41100221223220
520403022443
62033052440
7344464131
oct120515350
943703636
1021142248
1110a30536
1270b7120
1344c330a
142b44c88
151cc9583
hex1429ae8

21142248 has 64 divisors (see below), whose sum is σ = 55211520. Its totient is φ = 6739200.

The previous prime is 21142243. The next prime is 21142259. The reversal of 21142248 is 84224112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21142243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116718 + ... + 116898.

It is an arithmetic number, because the mean of its divisors is an integer number (862680).

Almost surely, 221142248 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 21142248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27605760).

21142248 is an abundant number, since it is smaller than the sum of its proper divisors (34069272).

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

21142248 is a wasteful number, since it uses less digits than its factorization.

21142248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 21142248 is about 4598.0700299147. The cubic root of 21142248 is about 276.5139551744.

The spelling of 21142248 in words is "twenty-one million, one hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 157 181 186 248 314 362 372 471 543 628 724 744 942 1086 1256 1448 1884 2172 3768 4344 4867 5611 9734 11222 14601 16833 19468 22444 28417 29202 33666 38936 44888 56834 58404 67332 85251 113668 116808 134664 170502 227336 341004 682008 880927 1761854 2642781 3523708 5285562 7047416 10571124 21142248