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6054040 = 2351729307
BaseRepresentation
bin10111000110000010011000
3102101120120201
4113012002120
53022212130
6333431544
7102313156
oct27060230
912346521
106054040
113465543
12203b5b4
13133c795
14b383d6
157e8bca
hex5c6098

6054040 has 64 divisors (see below), whose sum is σ = 14968800. Its totient is φ = 2193408.

The previous prime is 6054029. The next prime is 6054071. The reversal of 6054040 is 404506.

6054040 = 1282 + 1292 + ... + 2722.

It is a junction number, because it is equal to n+sod(n) for n = 6053999 and 6054017.

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, 19567 + ... + 19873.

Almost surely, 26054040 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 6054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7484400).

6054040 is an abundant number, since it is smaller than the sum of its proper divisors (8914760).

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

6054040 is a wasteful number, since it uses less digits than its factorization.

6054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 6054040 is about 2460.4958849793. The cubic root of 6054040 is about 182.2559695797.

Adding to 6054040 its reverse (404506), we get a palindrome (6458546).

The spelling of 6054040 in words is "six million, fifty-four thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 307 340 493 580 614 680 986 1160 1228 1535 1972 2456 2465 3070 3944 4930 5219 6140 8903 9860 10438 12280 17806 19720 20876 26095 35612 41752 44515 52190 71224 89030 104380 151351 178060 208760 302702 356120 605404 756755 1210808 1513510 3027020 6054040