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16628640 = 253573101
BaseRepresentation
bin111111011011…
…101110100000
31011021211012120
4333123232200
513224104030
61352224240
7261225000
oct77335640
934254176
1016628640
119428386
12569b080
1335a2a42
1422cc000
1516d7010
hexfdbba0

16628640 has 192 divisors, whose sum is σ = 61689600. Its totient is φ = 3763200.

The previous prime is 16628603. The next prime is 16628641. The reversal of 16628640 is 4682661.

It is a happy number.

It is a nialpdrome in base 16.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (16628641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164590 + ... + 164690.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 216628640 is an apocalyptic number.

16628640 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 16628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).

16628640 is an abundant number, since it is smaller than the sum of its proper divisors (45060960).

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

16628640 is a wasteful number, since it uses less digits than its factorization.

16628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 16628640 is about 4077.8229485842. The cubic root of 16628640 is about 255.2420615740.

The spelling of 16628640 in words is "sixteen million, six hundred twenty-eight thousand, six hundred forty".