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16397000 = 235319863
BaseRepresentation
bin111110100011…
…001011001000
31010212001110022
4332203023020
513144201000
61343240012
7256241444
oct76431310
933761408
1016397000
11928a344
1255a9008
133521489
14226b824
15168d585
hexfa32c8

16397000 has 64 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 6206400.

The previous prime is 16396997. The next prime is 16397009. The reversal of 16397000 is 79361.

It is a happy number.

16397000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16397009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18569 + ... + 19431.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 216397000 is an apocalyptic number.

16397000 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 16397000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

16397000 is an abundant number, since it is smaller than the sum of its proper divisors (24038200).

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

16397000 is a wasteful number, since it uses less digits than its factorization.

16397000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 16397000 is about 4049.3209307241. The cubic root of 16397000 is about 254.0513257306.

The spelling of 16397000 in words is "sixteen million, three hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 863 950 1000 1726 1900 2375 3452 3800 4315 4750 6904 8630 9500 16397 17260 19000 21575 32794 34520 43150 65588 81985 86300 107875 131176 163970 172600 215750 327940 409925 431500 655880 819850 863000 1639700 2049625 3279400 4099250 8198500 16397000