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16284940 = 2257293397
BaseRepresentation
bin111110000111…
…110100001100
31010122100201221
4332013310030
513132104230
61341013124
7255263650
oct76076414
933570657
1016284940
119213131
1255541a4
1334b2479
14223ca60
15166a27a
hexf87d0c

16284940 has 48 divisors (see below), whose sum is σ = 39316032. Its totient is φ = 5550336.

The previous prime is 16284911. The next prime is 16284941. The reversal of 16284940 is 4948261.

16284940 = T64 + T65 + ... + T460.

It is a super-3 number, since 3×162849403 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16284896 and 16284905.

It is not an unprimeable number, because it can be changed into a prime (16284941) 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 15 ways as a sum of consecutive naturals, for example, 40822 + ... + 41218.

It is an arithmetic number, because the mean of its divisors is an integer number (819084).

Almost surely, 216284940 is an apocalyptic number.

16284940 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 16284940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19658016).

16284940 is an abundant number, since it is smaller than the sum of its proper divisors (23031092).

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

16284940 is a wasteful number, since it uses less digits than its factorization.

16284940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 16284940 is about 4035.4603207069. The cubic root of 16284940 is about 253.4712583816.

The spelling of 16284940 in words is "sixteen million, two hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 293 397 586 794 1172 1465 1588 1985 2051 2779 2930 3970 4102 5558 5860 7940 8204 10255 11116 13895 20510 27790 41020 55580 116321 232642 465284 581605 814247 1163210 1628494 2326420 3256988 4071235 8142470 16284940