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21700040 = 23523103229
BaseRepresentation
bin101001011000…
…1110111001000
31111211110212012
41102301313020
521023400130
62053035052
7352306265
oct122616710
944743765
1021700040
111128161a
127325a88
13465a17b
142c4c26c
151d89995
hex14b1dc8

21700040 has 64 divisors (see below), whose sum is σ = 51667200. Its totient is φ = 8186112.

The previous prime is 21700039. The next prime is 21700043. The reversal of 21700040 is 4000712.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21699988 and 21700024.

It is not an unprimeable number, because it can be changed into a prime (21700043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94646 + ... + 94874.

It is an arithmetic number, because the mean of its divisors is an integer number (807300).

Almost surely, 221700040 is an apocalyptic number.

21700040 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 21700040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25833600).

21700040 is an abundant number, since it is smaller than the sum of its proper divisors (29967160).

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

21700040 is a wasteful number, since it uses less digits than its factorization.

21700040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 21700040 is about 4658.3301729268. The cubic root of 21700040 is about 278.9246166076.

Adding to 21700040 its reverse (4000712), we get a palindrome (25700752).

The spelling of 21700040 in words is "twenty-one million, seven hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 103 115 184 206 229 230 412 458 460 515 824 916 920 1030 1145 1832 2060 2290 2369 4120 4580 4738 5267 9160 9476 10534 11845 18952 21068 23587 23690 26335 42136 47174 47380 52670 94348 94760 105340 117935 188696 210680 235870 471740 542501 943480 1085002 2170004 2712505 4340008 5425010 10850020 21700040