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21359106 = 2331753439
BaseRepresentation
bin101000101111…
…0101000000010
31111012011012000
41101132220002
520431442411
62041444430
7346356306
oct121365002
944164160
1021359106
111106945a
1271a0716
13456ac32
142b9dd06
151d1d956
hex145ea02

21359106 has 64 divisors (see below), whose sum is σ = 51321600. Its totient is φ = 6559488.

The previous prime is 21359083. The next prime is 21359113. The reversal of 21359106 is 60195312.

It is a super-2 number, since 2×213591062 = 912422818238472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 21359106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48435 + ... + 48873.

It is an arithmetic number, because the mean of its divisors is an integer number (801900).

Almost surely, 221359106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21359106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25660800).

21359106 is an abundant number, since it is smaller than the sum of its proper divisors (29962494).

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

21359106 is a wasteful number, since it uses less digits than its factorization.

21359106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 21359106 is about 4621.5912843955. The cubic root of 21359106 is about 277.4561508509.

It can be divided in two parts, 213 and 59106, that added together give a cube (59319 = 393).

The spelling of 21359106 in words is "twenty-one million, three hundred fifty-nine thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 102 106 153 159 306 318 439 459 477 878 901 918 954 1317 1431 1802 2634 2703 2862 3951 5406 7463 7902 8109 11853 14926 16218 22389 23267 23706 24327 44778 46534 48654 67167 69801 134334 139602 201501 209403 395539 403002 418806 628209 791078 1186617 1256418 2373234 3559851 7119702 10679553 21359106