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21706830 = 2325437179
BaseRepresentation
bin101001011001…
…1100001001110
31111211211011200
41102303201032
521024104310
62053130330
7352335135
oct122634116
944754150
1021706830
1111286732
1273299a6
1346602a2
142c5091c
151d8b9c0
hex14b384e

21706830 has 96 divisors (see below), whose sum is σ = 59304960. Its totient is φ = 5503680.

The previous prime is 21706823. The next prime is 21706837. The reversal of 21706830 is 3860712.

It is an interprime number because it is at equal distance from previous prime (21706823) and next prime (21706837).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21706794 and 21706803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21706837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274731 + ... + 274809.

It is an arithmetic number, because the mean of its divisors is an integer number (617760).

Almost surely, 221706830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21706830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29652480).

21706830 is an abundant number, since it is smaller than the sum of its proper divisors (37598130).

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

21706830 is a wasteful number, since it uses less digits than its factorization.

21706830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 21706830 is about 4659.0589178503. The cubic root of 21706830 is about 278.9537056576.

The spelling of 21706830 in words is "twenty-one million, seven hundred six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 71 79 86 90 129 142 158 213 215 237 258 355 387 395 426 430 474 639 645 710 711 774 790 1065 1185 1278 1290 1422 1935 2130 2370 3053 3195 3397 3555 3870 5609 6106 6390 6794 7110 9159 10191 11218 15265 16827 16985 18318 20382 27477 28045 30530 30573 33654 33970 45795 50481 50955 54954 56090 61146 84135 91590 100962 101910 137385 152865 168270 241187 252405 274770 305730 482374 504810 723561 1205935 1447122 2170683 2411870 3617805 4341366 7235610 10853415 21706830