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6042480 = 2435171481
BaseRepresentation
bin10111000011001101110000
3102100222201120
4113003031300
53021324410
6333302240
7102234363
oct27031560
912328646
106042480
113457894
122034980
131337442
14b340da
157e5570
hex5c3370

6042480 has 80 divisors (see below), whose sum is σ = 19846944. Its totient is φ = 1515520.

The previous prime is 6042479. The next prime is 6042481. The reversal of 6042480 is 842406.

6042480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6042479) and next prime (6042481).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6042480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6042481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3340 + ... + 4820.

Almost surely, 26042480 is an apocalyptic number.

6042480 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 6042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9923472).

6042480 is an abundant number, since it is smaller than the sum of its proper divisors (13804464).

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

6042480 is a wasteful number, since it uses less digits than its factorization.

6042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6042480 is about 2458.1456425525. The cubic root of 6042480 is about 182.1398916417.

Adding to 6042480 its reverse (842406), we get a palindrome (6884886).

The spelling of 6042480 in words is "six million, forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 1481 2040 2962 4080 4443 5924 7405 8886 11848 14810 17772 22215 23696 25177 29620 35544 44430 50354 59240 71088 75531 88860 100708 118480 125885 151062 177720 201416 251770 302124 355440 377655 402832 503540 604248 755310 1007080 1208496 1510620 2014160 3021240 6042480