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6120480 = 253541311
BaseRepresentation
bin10111010110010000100000
3102111221201110
4113112100200
53031323410
6335103320
7103010652
oct27262040
912457643
106120480
113500453
122071b40
131363ab2
14b546d2
1580d720
hex5d6420

6120480 has 96 divisors (see below), whose sum is σ = 19813248. Its totient is φ = 1587200.

The previous prime is 6120467. The next prime is 6120497. The reversal of 6120480 is 840216.

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

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, 19525 + ... + 19835.

It is an arithmetic number, because the mean of its divisors is an integer number (206388).

Almost surely, 26120480 is an apocalyptic number.

6120480 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 6120480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624).

6120480 is an abundant number, since it is smaller than the sum of its proper divisors (13692768).

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

6120480 is a wasteful number, since it uses less digits than its factorization.

6120480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6120480 is about 2473.9603877184. The cubic root of 6120480 is about 182.9202674546.

Adding to 6120480 its reverse (840216), we get a palindrome (6960696).

The spelling of 6120480 in words is "six million, one hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 311 328 410 480 492 615 622 656 820 933 984 1230 1244 1312 1555 1640 1866 1968 2460 2488 3110 3280 3732 3936 4665 4920 4976 6220 6560 7464 9330 9840 9952 12440 12751 14928 18660 19680 24880 25502 29856 37320 38253 49760 51004 63755 74640 76506 102008 127510 149280 153012 191265 204016 255020 306024 382530 408032 510040 612048 765060 1020080 1224096 1530120 2040160 3060240 6120480