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163020400 = 24521093739
BaseRepresentation
bin10011011011101…
…11111001110000
3102100202021221121
421231313321300
5313213123100
624102032024
74016436064
oct1155677160
9370667847
10163020400
1184025704
1246718614
1327a0a49a
1417917aa4
15e4a251a
hex9b77e70

163020400 has 60 divisors (see below), whose sum is σ = 395355400. Its totient is φ = 64592640.

The previous prime is 163020391. The next prime is 163020419. The reversal of 163020400 is 4020361.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41731 + ... + 45469.

Almost surely, 2163020400 is an apocalyptic number.

163020400 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 163020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197677700).

163020400 is an abundant number, since it is smaller than the sum of its proper divisors (232335000).

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

163020400 is a wasteful number, since it uses less digits than its factorization.

163020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 163020400 is about 12767.9442354672. The cubic root of 163020400 is about 546.2783447529.

Adding to 163020400 its reverse (4020361), we get a palindrome (167040761).

The spelling of 163020400 in words is "one hundred sixty-three million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 200 218 400 436 545 872 1090 1744 2180 2725 3739 4360 5450 7478 8720 10900 14956 18695 21800 29912 37390 43600 59824 74780 93475 149560 186950 299120 373900 407551 747800 815102 1495600 1630204 2037755 3260408 4075510 6520816 8151020 10188775 16302040 20377550 32604080 40755100 81510200 163020400