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16484640 = 253561563
BaseRepresentation
bin111110111000…
…100100100000
31011000111200020
4332320210200
513210002030
61345153440
7260055114
oct76704440
934014606
1016484640
11933a177
12562b880
133552333
142291744
1516a9510
hexfb8920

16484640 has 96 divisors (see below), whose sum is σ = 52871616. Its totient is φ = 4316160.

The previous prime is 16484627. The next prime is 16484681. The reversal of 16484640 is 4648461.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28999 + ... + 29561.

It is an arithmetic number, because the mean of its divisors is an integer number (550746).

Almost surely, 216484640 is an apocalyptic number.

16484640 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 16484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26435808).

16484640 is an abundant number, since it is smaller than the sum of its proper divisors (36386976).

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

16484640 is a wasteful number, since it uses less digits than its factorization.

16484640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 16484640 is about 4060.1280767976. The cubic root of 16484640 is about 254.5031463387.

The spelling of 16484640 in words is "sixteen million, four hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 563 610 732 915 976 1126 1220 1464 1689 1830 1952 2252 2440 2815 2928 3378 3660 4504 4880 5630 5856 6756 7320 8445 9008 9760 11260 13512 14640 16890 18016 22520 27024 29280 33780 34343 45040 54048 67560 68686 90080 103029 135120 137372 171715 206058 270240 274744 343430 412116 515145 549488 686860 824232 1030290 1098976 1373720 1648464 2060580 2747440 3296928 4121160 5494880 8242320 16484640