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203160096 = 2533832833
BaseRepresentation
bin11000001101111…
…11101000100000
3112011021121021000
430012333220200
5404002110341
632054232000
75014555326
oct1406775040
9464247230
10203160096
11a4751207
1258055600
1333122799
141cda5d16
1512c808b6
hexc1bfa20

203160096 has 96 divisors (see below), whose sum is σ = 599901120. Its totient is φ = 66880512.

The previous prime is 203160091. The next prime is 203160119. The reversal of 203160096 is 690061302.

It is a happy number.

203160096 is a `hidden beast` number, since 20 + 31 + 600 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (203160091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70296 + ... + 73128.

It is an arithmetic number, because the mean of its divisors is an integer number (6248970).

Almost surely, 2203160096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203160096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299950560).

203160096 is an abundant number, since it is smaller than the sum of its proper divisors (396741024).

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

203160096 is a wasteful number, since it uses less digits than its factorization.

203160096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 203160096 is about 14253.4240096897. The cubic root of 203160096 is about 587.8675253414.

The spelling of 203160096 in words is "two hundred three million, one hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2833 2988 3984 4482 5666 5976 7968 8499 8964 11332 11952 16998 17928 22664 23904 25497 33996 35856 45328 50994 67992 71712 76491 90656 101988 135984 152982 203976 235139 271968 305964 407952 470278 611928 705417 815904 940556 1223856 1410834 1881112 2116251 2447712 2821668 3762224 4232502 5643336 6348753 7524448 8465004 11286672 12697506 16930008 22573344 25395012 33860016 50790024 67720032 101580048 203160096