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16780050 = 2325272761
BaseRepresentation
bin100000000000…
…0101100010010
31011120111220100
41000000230102
513243430200
61355353230
7262425300
oct100005422
934514810
1016780050
119521111
125752816
133626931
14232b270
151716d00
hex1000b12

16780050 has 108 divisors (see below), whose sum is σ = 52511706. Its totient is φ = 3830400.

The previous prime is 16780031. The next prime is 16780051. The reversal of 16780050 is 5008761.

It can be written as a sum of positive squares in 3 ways, for example, as 6456681 + 10323369 = 2541^2 + 3213^2 .

It is a Curzon number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 16779996 and 16780023.

It is not an unprimeable number, because it can be changed into a prime (16780051) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 21670 + ... + 22430.

Almost surely, 216780050 is an apocalyptic number.

16780050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16780050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26255853).

16780050 is an abundant number, since it is smaller than the sum of its proper divisors (35731656).

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

16780050 is a wasteful number, since it uses less digits than its factorization.

16780050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 16780050 is about 4096.3459326575. The cubic root of 16780050 is about 256.0144136578.

The spelling of 16780050 in words is "sixteen million, seven hundred eighty thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 450 490 525 630 735 761 882 1050 1225 1470 1522 1575 2205 2283 2450 3150 3675 3805 4410 4566 5327 6849 7350 7610 10654 11025 11415 13698 15981 19025 22050 22830 26635 31962 34245 37289 38050 47943 53270 57075 68490 74578 79905 95886 111867 114150 133175 159810 171225 186445 223734 239715 266350 335601 342450 372890 399525 479430 559335 671202 799050 932225 1118670 1198575 1678005 1864450 2397150 2796675 3356010 5593350 8390025 16780050