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16484940 = 2232591583
BaseRepresentation
bin111110111000…
…101001001100
31011000112002100
4332320221030
513210004230
61345155100
7260056023
oct76705114
934015070
1016484940
11933a41a
12562ba90
133552504
1422918ba
1516a9660
hexfb8a4c

16484940 has 36 divisors (see below), whose sum is σ = 50004864. Its totient is φ = 4395936.

The previous prime is 16484903. The next prime is 16484957. The reversal of 16484940 is 4948461.

It is a happy number.

16484940 is a `hidden beast` number, since 1 + 648 + 4 + 9 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16484895 and 16484904.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45612 + ... + 45971.

It is an arithmetic number, because the mean of its divisors is an integer number (1389024).

Almost surely, 216484940 is an apocalyptic number.

16484940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16484940 is an abundant number, since it is smaller than the sum of its proper divisors (33519924).

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

16484940 is a wasteful number, since it uses less digits than its factorization.

16484940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91598 (or 91593 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 16484940 is about 4060.1650212768. The cubic root of 16484940 is about 254.5046902099.

It can be divided in two parts, 16484 and 940, that added together give a square (17424 = 1322).

The spelling of 16484940 in words is "sixteen million, four hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 91583 183166 274749 366332 457915 549498 824247 915830 1098996 1373745 1648494 1831660 2747490 3296988 4121235 5494980 8242470 16484940