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16930368 = 26327131719
BaseRepresentation
bin100000010010…
…1011001000000
31011212011002200
41000211121000
513313232433
61402513200
7263622450
oct100453100
934764080
1016930368
119614044
125805800
13367a190
142369d60
151746613
hex1025640

16930368 has 336 divisors, whose sum is σ = 66568320. Its totient is φ = 3981312.

The previous prime is 16930363. The next prime is 16930393. The reversal of 16930368 is 86303961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16930363) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 891063 + ... + 891081.

It is an arithmetic number, because the mean of its divisors is an integer number (198120).

Almost surely, 216930368 is an apocalyptic number.

16930368 is a gapful number since it is divisible by the number (18) 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 16930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33284160).

16930368 is an abundant number, since it is smaller than the sum of its proper divisors (49637952).

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

16930368 is a wasteful number, since it uses less digits than its factorization.

16930368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 16930368 is about 4114.6528407631. The cubic root of 16930368 is about 256.7766130040.

The spelling of 16930368 in words is "sixteen million, nine hundred thirty thousand, three hundred sixty-eight".