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163320400 = 24523113171
BaseRepresentation
bin10011011110000…
…01001001010000
3102101022112110201
421233001021100
5313302223100
624112304544
74022125525
oct1157011120
9371275421
10163320400
1184210041
1246842154
1327ab3bb9
141799514c
15e51136a
hex9bc1250

163320400 has 60 divisors (see below), whose sum is σ = 405065344. Its totient is φ = 63216000.

The previous prime is 163320397. The next prime is 163320403. The reversal of 163320400 is 4023361.

It is an interprime number because it is at equal distance from previous prime (163320397) and next prime (163320403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163320403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5815 + ... + 18985.

Almost surely, 2163320400 is an apocalyptic number.

163320400 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 163320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202532672).

163320400 is an abundant number, since it is smaller than the sum of its proper divisors (241744944).

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

163320400 is a wasteful number, since it uses less digits than its factorization.

163320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13220 (or 13209 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 163320400 is about 12779.6870071219. The cubic root of 163320400 is about 546.6132375570.

Adding to 163320400 its reverse (4023361), we get a palindrome (167343761).

The spelling of 163320400 in words is "one hundred sixty-three million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 13171 26342 52684 65855 105368 131710 210736 263420 329275 408301 526840 658550 816602 1053680 1317100 1633204 2041505 2634200 3266408 4083010 5268400 6532816 8166020 10207525 16332040 20415050 32664080 40830100 81660200 163320400