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21705540 = 22354347179
BaseRepresentation
bin101001011001…
…1001101000100
31111211202101220
41102303031010
521024034130
62053120340
7352331313
oct122631504
944752356
1021705540
111128576a
1273290b0
13465c81c
142c5027a
151d8b410
hex14b3344

21705540 has 96 divisors (see below), whose sum is σ = 63866880. Its totient is φ = 5502336.

The previous prime is 21705539. The next prime is 21705547. The reversal of 21705540 is 4550712.

It is a super-2 number, since 2×217055402 = 942260933383200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21705540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21705547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121171 + ... + 121349.

It is an arithmetic number, because the mean of its divisors is an integer number (665280).

Almost surely, 221705540 is an apocalyptic number.

21705540 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 21705540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933440).

21705540 is an abundant number, since it is smaller than the sum of its proper divisors (42161340).

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

21705540 is a wasteful number, since it uses less digits than its factorization.

21705540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 21705540 is about 4658.9204758184. The cubic root of 21705540 is about 278.9481796333.

The spelling of 21705540 in words is "twenty-one million, seven hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 47 60 86 94 129 141 172 179 188 215 235 258 282 358 430 470 516 537 564 645 705 716 860 895 940 1074 1290 1410 1790 2021 2148 2580 2685 2820 3580 4042 5370 6063 7697 8084 8413 10105 10740 12126 15394 16826 20210 23091 24252 25239 30315 30788 33652 38485 40420 42065 46182 50478 60630 76970 84130 92364 100956 115455 121260 126195 153940 168260 230910 252390 361759 461820 504780 723518 1085277 1447036 1808795 2170554 3617590 4341108 5426385 7235180 10852770 21705540