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16772040 = 2332546589
BaseRepresentation
bin111111111110…
…101111001000
31011120002220200
4333332233020
513243201130
61355252200
7262363035
oct77765710
934502820
1016772040
11951609a
12574a060
1336230ac
14232838c
151714760
hexffebc8

16772040 has 48 divisors (see below), whose sum is σ = 54510300. Its totient is φ = 4472448.

The previous prime is 16772027. The next prime is 16772051. The reversal of 16772040 is 4027761.

It can be written as a sum of positive squares in 2 ways, for example, as 14884164 + 1887876 = 3858^2 + 1374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16771995 and 16772013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22935 + ... + 23654.

Almost surely, 216772040 is an apocalyptic number.

16772040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16772040 is an abundant number, since it is smaller than the sum of its proper divisors (37738260).

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

16772040 is a wasteful number, since it uses less digits than its factorization.

16772040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46606 (or 46599 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 16772040 is about 4095.3681153225. The cubic root of 16772040 is about 255.9736707948.

The spelling of 16772040 in words is "sixteen million, seven hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 46589 93178 139767 186356 232945 279534 372712 419301 465890 559068 698835 838602 931780 1118136 1397670 1677204 1863560 2096505 2795340 3354408 4193010 5590680 8386020 16772040