Search a number
-
+
16940960 = 255113937
BaseRepresentation
bin100000010011…
…1111110100000
31011212200121222
41000213332200
513314102320
61403034212
7263665361
oct100477640
934780558
1016940960
119620aa3
12580b968
133681c4a
14236db68
151749825
hex1027fa0

16940960 has 48 divisors (see below), whose sum is σ = 40420296. Its totient is φ = 6709248.

The previous prime is 16940947. The next prime is 16940983. The reversal of 16940960 is 6904961.

It can be written as a sum of positive squares in 4 ways, for example, as 3952144 + 12988816 = 1988^2 + 3604^2 .

It is a super-2 number, since 2×169409602 = 573992251443200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16940960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17612 + ... + 18548.

Almost surely, 216940960 is an apocalyptic number.

16940960 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 16940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20210148).

16940960 is an abundant number, since it is smaller than the sum of its proper divisors (23479336).

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

16940960 is a wasteful number, since it uses less digits than its factorization.

16940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 16940960 is about 4115.9397468865. The cubic root of 16940960 is about 256.8301501529.

The spelling of 16940960 in words is "sixteen million, nine hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 937 1130 1808 1874 2260 3616 3748 4520 4685 7496 9040 9370 14992 18080 18740 29984 37480 74960 105881 149920 211762 423524 529405 847048 1058810 1694096 2117620 3388192 4235240 8470480 16940960