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16827420 = 22353183109
BaseRepresentation
bin100000000110…
…0010000011100
31011122220212210
41000030100130
513301434140
61400400420
7263013351
oct100142034
934586783
1016827420
119553765
125776110
13364236c
142340628
151725d80
hex100c41c

16827420 has 96 divisors (see below), whose sum is σ = 49674240. Its totient is φ = 4250880.

The previous prime is 16827413. The next prime is 16827427. The reversal of 16827420 is 2472861.

16827420 = 6292 + 6302 + ... + 6682.

It is an interprime number because it is at equal distance from previous prime (16827413) and next prime (16827427).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16827427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154326 + ... + 154434.

It is an arithmetic number, because the mean of its divisors is an integer number (517440).

Almost surely, 216827420 is an apocalyptic number.

16827420 is a gapful number since it is divisible by the number (10) 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 16827420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837120).

16827420 is an abundant number, since it is smaller than the sum of its proper divisors (32846820).

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

16827420 is a wasteful number, since it uses less digits than its factorization.

16827420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 16827420 is about 4102.1238401589. The cubic root of 16827420 is about 256.2550964681.

The spelling of 16827420 in words is "sixteen million, eight hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 83 93 109 124 155 166 186 218 249 310 327 332 372 415 436 465 498 545 620 654 830 930 996 1090 1245 1308 1635 1660 1860 2180 2490 2573 3270 3379 4980 5146 6540 6758 7719 9047 10137 10292 12865 13516 15438 16895 18094 20274 25730 27141 30876 33790 36188 38595 40548 45235 50685 51460 54282 67580 77190 90470 101370 108564 135705 154380 180940 202740 271410 280457 542820 560914 841371 1121828 1402285 1682742 2804570 3365484 4206855 5609140 8413710 16827420