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6117000320 = 27529993187
BaseRepresentation
bin1011011001001101…
…00000010010000000
3120210022012210221102
411230212200102000
5100011423002240
62450552313532
7304404434114
oct55446402200
916708183842
106117000320
112659983972
1212286a28a8
137663b2522
14420587744
1525c049815
hex16c9a0480

6117000320 has 64 divisors (see below), whose sum is σ = 14632920000. Its totient is φ = 2445216768.

The previous prime is 6117000293. The next prime is 6117000343. The reversal of 6117000320 is 230007116.

It is a happy number.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 6117000292 and 6117000301.

It is an unprimeable number.

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, 1917767 + ... + 1920953.

It is an arithmetic number, because the mean of its divisors is an integer number (228639375).

Almost surely, 26117000320 is an apocalyptic number.

It is an amenable number.

6117000320 is an abundant number, since it is smaller than the sum of its proper divisors (8515919680).

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

6117000320 is a wasteful number, since it uses less digits than its factorization.

6117000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 6117000320 is about 78211.2544331057. The cubic root of 6117000320 is about 1828.8559562829.

Adding to 6117000320 its reverse (230007116), we get a palindrome (6347007436).

The spelling of 6117000320 in words is "six billion, one hundred seventeen million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2999 3187 5998 6374 11996 12748 14995 15935 23992 25496 29990 31870 47984 50992 59980 63740 95968 101984 119960 127480 191936 203968 239920 254960 383872 407936 479840 509920 959680 1019840 1919360 2039680 9557813 19115626 38231252 47789065 76462504 95578130 152925008 191156260 305850016 382312520 611700032 764625040 1223400064 1529250080 3058500160 6117000320