Search a number
-
+
16763340 = 22351122309
BaseRepresentation
bin111111111100…
…100111001100
31011112122222110
4333330213030
513242411330
61355144020
7262325466
oct77744714
934478873
1016763340
11950a600
125745010
13361c149
142325136
151711db0
hexffc9cc

16763340 has 72 divisors (see below), whose sum is σ = 51614640. Its totient is φ = 4062080.

The previous prime is 16763323. The next prime is 16763347. The reversal of 16763340 is 4336761.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 = 16763298 and 16763307.

It is not an unprimeable number, because it can be changed into a prime (16763347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6106 + ... + 8414.

It is an arithmetic number, because the mean of its divisors is an integer number (716870).

Almost surely, 216763340 is an apocalyptic number.

16763340 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 16763340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25807320).

16763340 is an abundant number, since it is smaller than the sum of its proper divisors (34851300).

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

16763340 is a wasteful number, since it uses less digits than its factorization.

16763340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 16763340 is about 4094.3058019645. The cubic root of 16763340 is about 255.9294035479.

The spelling of 16763340 in words is "sixteen million, seven hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2309 2420 3630 4618 6927 7260 9236 11545 13854 23090 25399 27708 34635 46180 50798 69270 76197 101596 126995 138540 152394 253990 279389 304788 380985 507980 558778 761970 838167 1117556 1396945 1523940 1676334 2793890 3352668 4190835 5587780 8381670 16763340