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16991040 = 2635111609
BaseRepresentation
bin100000011010…
…0001101000000
31011222020022210
41000310031000
513322203130
61404102120
7264264363
oct100641500
934866283
1016991040
119655690
125834940
13369b991
1423840da
1517595b0
hex1034340

16991040 has 112 divisors (see below), whose sum is σ = 58887360. Its totient is φ = 4116480.

The previous prime is 16991033. The next prime is 16991057. The reversal of 16991040 is 4019961.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16990989 and 16991007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9756 + ... + 11364.

It is an arithmetic number, because the mean of its divisors is an integer number (525780).

Almost surely, 216991040 is an apocalyptic number.

16991040 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 16991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29443680).

16991040 is an abundant number, since it is smaller than the sum of its proper divisors (41896320).

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

16991040 is a wasteful number, since it uses less digits than its factorization.

16991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 16991040 is about 4122.0189228095. The cubic root of 16991040 is about 257.0829772387.

The spelling of 16991040 in words is "sixteen million, nine hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1609 1760 2112 2640 3218 3520 4827 5280 6436 8045 9654 10560 12872 16090 17699 19308 24135 25744 32180 35398 38616 48270 51488 53097 64360 70796 77232 88495 96540 102976 106194 128720 141592 154464 176990 193080 212388 257440 265485 283184 308928 353980 386160 424776 514880 530970 566368 707960 772320 849552 1061940 1132736 1415920 1544640 1699104 2123880 2831840 3398208 4247760 5663680 8495520 16991040