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16541040 = 2435413
BaseRepresentation
bin111111000110…
…010101110000
31011010101001010
4333012111300
513213303130
61350310520
7260411415
oct77062560
934111033
1016541040
11937858a
125658440
133571bc9
1422a810c
1516bb0b0
hexfc6570

16541040 has 80 divisors (see below), whose sum is σ = 52559136. Its totient is φ = 4303360.

The previous prime is 16541029. The next prime is 16541069. The reversal of 16541040 is 4014561.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 16540998 and 16541016.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 403420 + ... + 403460.

Almost surely, 216541040 is an apocalyptic number.

16541040 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 16541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26279568).

16541040 is an abundant number, since it is smaller than the sum of its proper divisors (36018096).

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

16541040 is an frugal number, since it uses more digits than its factorization.

16541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 16541040 is about 4067.0677397850. The cubic root of 16541040 is about 254.7930654882.

The spelling of 16541040 in words is "sixteen million, five hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1681 1968 2460 3280 3362 4920 5043 6724 8405 9840 10086 13448 16810 20172 25215 26896 33620 40344 50430 67240 68921 80688 100860 134480 137842 201720 206763 275684 344605 403440 413526 551368 689210 827052 1033815 1102736 1378420 1654104 2067630 2756840 3308208 4135260 5513680 8270520 16541040