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21870936 = 23321791697
BaseRepresentation
bin101001101101…
…1100101011000
31112011011021200
41103123211120
521044332221
62100434200
7353620443
oct123334530
945134250
1021870936
1111388a5a
1273a8960
1346b9ba9
142c9465a
151dc0426
hex14db958

21870936 has 48 divisors (see below), whose sum is σ = 59599800. Its totient is φ = 7245312.

The previous prime is 21870931. The next prime is 21870967. The reversal of 21870936 is 63907812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21870936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21870931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12040 + ... + 13736.

Almost surely, 221870936 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 21870936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29799900).

21870936 is an abundant number, since it is smaller than the sum of its proper divisors (37728864).

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

21870936 is a wasteful number, since it uses less digits than its factorization.

21870936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21870936 is about 4676.6372534119. The cubic root of 21870936 is about 279.6549150120.

The spelling of 21870936 in words is "twenty-one million, eight hundred seventy thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 179 358 537 716 1074 1432 1611 1697 2148 3222 3394 4296 5091 6444 6788 10182 12888 13576 15273 20364 30546 40728 61092 122184 303763 607526 911289 1215052 1822578 2430104 2733867 3645156 5467734 7290312 10935468 21870936