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21388770 = 232513101181
BaseRepresentation
bin101000110010…
…1110111100010
31111020122212200
41101211313202
520433420040
62042234030
7346541634
oct121456742
944218780
1021388770
1111089777
1271b5916
13457b5a0
142baaa54
151d27630
hex1465de2

21388770 has 96 divisors (see below), whose sum is σ = 60815664. Its totient is φ = 5184000.

The previous prime is 21388769. The next prime is 21388777. The reversal of 21388770 is 7788312.

It can be written as a sum of positive squares in 8 ways, for example, as 4422609 + 16966161 = 2103^2 + 4119^2 .

It is a super-2 number, since 2×213887702 = 914958964225800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21388777) 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 47 ways as a sum of consecutive naturals, for example, 118080 + ... + 118260.

Almost surely, 221388770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21388770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30407832).

21388770 is an abundant number, since it is smaller than the sum of its proper divisors (39426894).

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

21388770 is a wasteful number, since it uses less digits than its factorization.

21388770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 21388770 is about 4624.7994551115. The cubic root of 21388770 is about 277.5845371854.

The spelling of 21388770 in words is "twenty-one million, three hundred eighty-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 101 117 130 181 195 202 234 303 362 390 505 543 585 606 905 909 1010 1086 1170 1313 1515 1629 1810 1818 2353 2626 2715 3030 3258 3939 4545 4706 5430 6565 7059 7878 8145 9090 11765 11817 13130 14118 16290 18281 19695 21177 23530 23634 35295 36562 39390 42354 54843 59085 70590 91405 105885 109686 118170 164529 182810 211770 237653 274215 329058 475306 548430 712959 822645 1188265 1425918 1645290 2138877 2376530 3564795 4277754 7129590 10694385 21388770