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193663104 = 2732711861
BaseRepresentation
bin10111000101100…
…01000010000000
3111111102002211120
423202301002000
5344034204404
631114512240
74541052315
oct1342610200
9444362746
10193663104
119a354a58
1254a35680
1331178b6b
141ba12d0c
15120069d9
hexb8b1080

193663104 has 64 divisors (see below), whose sum is σ = 516593280. Its totient is φ = 64281600.

The previous prime is 193663091. The next prime is 193663109. The reversal of 193663104 is 401366391.

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

It is not an unprimeable number, because it can be changed into a prime (193663109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103134 + ... + 104994.

It is an arithmetic number, because the mean of its divisors is an integer number (8071770).

Almost surely, 2193663104 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 193663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258296640).

193663104 is an abundant number, since it is smaller than the sum of its proper divisors (322930176).

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

193663104 is a wasteful number, since it uses less digits than its factorization.

193663104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 193663104 is about 13916.2891605485. The cubic root of 193663104 is about 578.5607438008.

The spelling of 193663104 in words is "one hundred ninety-three million, six hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 271 384 542 813 1084 1626 1861 2168 3252 3722 4336 5583 6504 7444 8672 11166 13008 14888 17344 22332 26016 29776 34688 44664 52032 59552 89328 104064 119104 178656 238208 357312 504331 714624 1008662 1512993 2017324 3025986 4034648 6051972 8069296 12103944 16138592 24207888 32277184 48415776 64554368 96831552 193663104