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21739770 = 232513171093
BaseRepresentation
bin101001011101…
…1100011111010
31111220111100200
41102323203322
521031133040
62053543030
7352533153
oct122734372
944814320
1021739770
11112a9458
127344a76
134672290
142c5c92a
151d96630
hex14bb8fa

21739770 has 96 divisors (see below), whose sum is σ = 64510992. Its totient is φ = 5031936.

The previous prime is 21739759. The next prime is 21739771. The reversal of 21739770 is 7793712.

It can be written as a sum of positive squares in 8 ways, for example, as 15374241 + 6365529 = 3921^2 + 2523^2 .

It is not an unprimeable number, because it can be changed into a prime (21739771) 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, 19344 + ... + 20436.

Almost surely, 221739770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21739770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32255496).

21739770 is an abundant number, since it is smaller than the sum of its proper divisors (42771222).

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

21739770 is a wasteful number, since it uses less digits than its factorization.

21739770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 21739770 is about 4662.5926264258. The cubic root of 21739770 is about 279.0947379352.

The spelling of 21739770 in words is "twenty-one million, seven hundred thirty-nine thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1093 1105 1170 1326 1530 1989 2186 2210 3279 3315 3978 5465 6558 6630 9837 9945 10930 14209 16395 18581 19674 19890 28418 32790 37162 42627 49185 55743 71045 85254 92905 98370 111486 127881 142090 167229 185810 213135 241553 255762 278715 334458 426270 483106 557430 639405 724659 836145 1207765 1278810 1449318 1672290 2173977 2415530 3623295 4347954 7246590 10869885 21739770