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6120000640 = 27513811907
BaseRepresentation
bin1011011001100011…
…11100110010000000
3120210111212020121101
411230301330302000
5100013210010030
62451140504144
7304442101315
oct55461746200
916714766541
106120000640
112660643076
1212296ab054
13766bc3070
14420b28d0c
1525c43d7ca
hex16cc7cc80

6120000640 has 128 divisors (see below), whose sum is σ = 15792880320. Its totient is φ = 2254417920.

The previous prime is 6120000637. The next prime is 6120000673. The reversal of 6120000640 is 460000216.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6747067 + ... + 6747973.

Almost surely, 26120000640 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 6120000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896440160).

6120000640 is an abundant number, since it is smaller than the sum of its proper divisors (9672879680).

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

6120000640 is a wasteful number, since it uses less digits than its factorization.

6120000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 6120000640 is about 78230.4329529116. The cubic root of 6120000640 is about 1829.1549185156.

Adding to 6120000640 its reverse (460000216), we get a palindrome (6580000856).

The spelling of 6120000640 in words is "six billion, one hundred twenty million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 811 832 907 1040 1622 1664 1814 2080 3244 3628 4055 4160 4535 6488 7256 8110 8320 9070 10543 11791 12976 14512 16220 18140 21086 23582 25952 29024 32440 36280 42172 47164 51904 52715 58048 58955 64880 72560 84344 94328 103808 105430 116096 117910 129760 145120 168688 188656 210860 235820 259520 290240 337376 377312 421720 471640 519040 580480 674752 735577 754624 843440 943280 1349504 1471154 1509248 1686880 1886560 2942308 3373760 3677885 3773120 5884616 6747520 7355770 7546240 9562501 11769232 14711540 19125002 23538464 29423080 38250004 47076928 47812505 58846160 76500008 94153856 95625010 117692320 153000016 191250020 235384640 306000032 382500040 470769280 612000064 765000080 1224000128 1530000160 3060000320 6120000640