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193929680 = 2457346303
BaseRepresentation
bin10111000111100…
…10000111010000
3111111220122111202
423203302013100
5344121222210
631124330332
74543242440
oct1343620720
9444818452
10193929680
119a51726a
1254b439a8
13312402b9
141ba82120
151205a9a5
hexb8f21d0

193929680 has 40 divisors (see below), whose sum is σ = 515300352. Its totient is φ = 66489984.

The previous prime is 193929677. The next prime is 193929709. The reversal of 193929680 is 86929391.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 172592 + ... + 173711.

Almost surely, 2193929680 is an apocalyptic number.

193929680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193929680 is an abundant number, since it is smaller than the sum of its proper divisors (321370672).

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

193929680 is a wasteful number, since it uses less digits than its factorization.

193929680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346323 (or 346317 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 47.

The square root of 193929680 is about 13925.8637075048. The cubic root of 193929680 is about 578.8260837890.

The spelling of 193929680 in words is "one hundred ninety-three million, nine hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 346303 692606 1385212 1731515 2424121 2770424 3463030 4848242 5540848 6926060 9696484 12120605 13852120 19392968 24241210 27704240 38785936 48482420 96964840 193929680