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6065040 = 243537683
BaseRepresentation
bin10111001000101110010000
3102102010200010
4113020232100
53023040130
6333554520
7102360222
oct27105620
912363603
106065040
113472833
122045a40
1313447a7
14b3c412
157ec0b0
hex5c8b90

6065040 has 80 divisors (see below), whose sum is σ = 19338048. Its totient is φ = 1571328.

The previous prime is 6065029. The next prime is 6065051. The reversal of 6065040 is 405606.

It is an interprime number because it is at equal distance from previous prime (6065029) and next prime (6065051).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×60650403 (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6064998 and 6065016.

It is a congruent number.

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, 8539 + ... + 9221.

Almost surely, 26065040 is an apocalyptic number.

6065040 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 6065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669024).

6065040 is an abundant number, since it is smaller than the sum of its proper divisors (13273008).

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

6065040 is a wasteful number, since it uses less digits than its factorization.

6065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 6065040 is about 2462.7301922866. The cubic root of 6065040 is about 182.3662872442.

The spelling of 6065040 in words is "six million, sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 683 740 888 1110 1366 1480 1776 2049 2220 2732 2960 3415 4098 4440 5464 6830 8196 8880 10245 10928 13660 16392 20490 25271 27320 32784 40980 50542 54640 75813 81960 101084 126355 151626 163920 202168 252710 303252 379065 404336 505420 606504 758130 1010840 1213008 1516260 2021680 3032520 6065040