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21406740 = 22351731677
BaseRepresentation
bin101000110101…
…0010000010100
31111021120112020
41101222100110
520440003430
62042453140
7346645215
oct121522024
944246466
1021406740
11110a1223
1272041b0
134586814
142bb340c
151d2cb10
hex146a414

21406740 has 96 divisors (see below), whose sum is σ = 65608704. Its totient is φ = 5191680.

The previous prime is 21406729. The next prime is 21406747. The reversal of 21406740 is 4760412.

It is a self number, because there is not a number n which added to its sum of digits gives 21406740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21406747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31282 + ... + 31958.

It is an arithmetic number, because the mean of its divisors is an integer number (683424).

Almost surely, 221406740 is an apocalyptic number.

21406740 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 21406740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32804352).

21406740 is an abundant number, since it is smaller than the sum of its proper divisors (44201964).

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

21406740 is a wasteful number, since it uses less digits than its factorization.

21406740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 21406740 is about 4626.7418341636. The cubic root of 21406740 is about 277.6622539471.

The spelling of 21406740 in words is "twenty-one million, four hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 677 930 1020 1054 1354 1581 1860 2031 2108 2635 2708 3162 3385 4062 5270 6324 6770 7905 8124 10155 10540 11509 13540 15810 20310 20987 23018 31620 34527 40620 41974 46036 57545 62961 69054 83948 104935 115090 125922 138108 172635 209870 230180 251844 314805 345270 356779 419740 629610 690540 713558 1070337 1259220 1427116 1783895 2140674 3567790 4281348 5351685 7135580 10703370 21406740