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163900032 = 2731073989
BaseRepresentation
bin10011100010011…
…10101010000000
3102102101222120120
421301032222000
5313424300112
624132540240
74030061442
oct1161165200
9372358516
10163900032
118457657a
1246a81680
1327c5798a
1417aa6492
15e5c7e8c
hex9c4ea80

163900032 has 64 divisors (see below), whose sum is σ = 439538400. Its totient is φ = 54109184.

The previous prime is 163900031. The next prime is 163900063. The reversal of 163900032 is 230009361.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 163899975 and 163900011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163900031) 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 7 ways as a sum of consecutive naturals, for example, 39094 + ... + 43082.

Almost surely, 2163900032 is an apocalyptic number.

163900032 is a gapful number since it is divisible by the number (12) 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 163900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219769200).

163900032 is an abundant number, since it is smaller than the sum of its proper divisors (275638368).

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

163900032 is a wasteful number, since it uses less digits than its factorization.

163900032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 163900032 is about 12802.3447852337. The cubic root of 163900032 is about 547.2591263356.

Adding to 163900032 its reverse (230009361), we get a palindrome (393909393).

The spelling of 163900032 in words is "one hundred sixty-three million, nine hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2568 3424 3989 5136 6848 7978 10272 11967 13696 15956 20544 23934 31912 41088 47868 63824 95736 127648 191472 255296 382944 426823 510592 765888 853646 1280469 1531776 1707292 2560938 3414584 5121876 6829168 10243752 13658336 20487504 27316672 40975008 54633344 81950016 163900032