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6140640 = 2535111163
BaseRepresentation
bin10111011011001011100000
3102112222101010
4113123023200
53033000030
6335340520
7103123512
oct27331340
912488333
106140640
113514610
122081740
13137001c
14b5bbb2
158146b0
hex5db2e0

6140640 has 96 divisors (see below), whose sum is σ = 21119616. Its totient is φ = 1487360.

The previous prime is 6140593. The next prime is 6140647. The reversal of 6140640 is 460416.

6140640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6140647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4699 + ... + 5861.

It is an arithmetic number, because the mean of its divisors is an integer number (219996).

Almost surely, 26140640 is an apocalyptic number.

6140640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10559808).

6140640 is an abundant number, since it is smaller than the sum of its proper divisors (14978976).

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

6140640 is a wasteful number, since it uses less digits than its factorization.

6140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6140640 is about 2478.0314767977. The cubic root of 6140640 is about 183.1208852217.

The spelling of 6140640 in words is "six million, one hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1163 1320 1760 2326 2640 3489 4652 5280 5815 6978 9304 11630 12793 13956 17445 18608 23260 25586 27912 34890 37216 38379 46520 51172 55824 63965 69780 76758 93040 102344 111648 127930 139560 153516 186080 191895 204688 255860 279120 307032 383790 409376 511720 558240 614064 767580 1023440 1228128 1535160 2046880 3070320 6140640