Search a number
-
+
16969680 = 24325721337
BaseRepresentation
bin100000010111…
…0111111010000
31011221011000200
41000232333100
513321012210
61403415200
7264145200
oct100567720
934834020
1016969680
119640632
125824500
133692040
14237a400
1517530c0
hex102efd0

16969680 has 360 divisors, whose sum is σ = 73323432. Its totient is φ = 3483648.

The previous prime is 16969663. The next prime is 16969691. The reversal of 16969680 is 8696961.

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 14930496 = 1428^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458622 + ... + 458658.

Almost surely, 216969680 is an apocalyptic number.

16969680 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 16969680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36661716).

16969680 is an abundant number, since it is smaller than the sum of its proper divisors (56353752).

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

16969680 is a wasteful number, since it uses less digits than its factorization.

16969680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 16969680 is about 4119.4271446404. The cubic root of 16969680 is about 256.9752028844.

The spelling of 16969680 in words is "sixteen million, nine hundred sixty-nine thousand, six hundred eighty".