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21284190 = 23251731367
BaseRepresentation
bin101000100110…
…0010101011110
31111001100102100
41101030111132
520422043230
62040105530
7345625014
oct121142536
944040370
1021284190
1111018144
1271652a6
134542ac5
142b808b4
151d06660
hex144c55e

21284190 has 48 divisors (see below), whose sum is σ = 55699488. Its totient is φ = 5638848.

The previous prime is 21284189. The next prime is 21284227. The reversal of 21284190 is 9148212.

It is a super-2 number, since 2×212841902 = 906033487912200, which contains 22 as substring.

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, 14887 + ... + 16253.

It is an arithmetic number, because the mean of its divisors is an integer number (1160406).

Almost surely, 221284190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21284190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27849744).

21284190 is an abundant number, since it is smaller than the sum of its proper divisors (34415298).

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

21284190 is a wasteful number, since it uses less digits than its factorization.

21284190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 21284190 is about 4613.4791643618. The cubic root of 21284190 is about 277.1313829775.

The spelling of 21284190 in words is "twenty-one million, two hundred eighty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1367 1557 1730 2595 2734 3114 4101 5190 6835 7785 8202 12303 13670 15570 20505 24606 41010 61515 123030 236491 472982 709473 1182455 1418946 2128419 2364910 3547365 4256838 7094730 10642095 21284190