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6029280 = 253255379
BaseRepresentation
bin10110111111111111100000
3102100022121200
4112333333200
53020414110
6333121200
7102151035
oct26777740
912308550
106029280
113448984
122029200
13133142a
14b2d38c
157e16c0
hex5bffe0

6029280 has 144 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 1557504.

The previous prime is 6029273. The next prime is 6029281. The reversal of 6029280 is 829206.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6029281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76281 + ... + 76359.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 26029280 is an apocalyptic number.

6029280 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 6029280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

6029280 is an abundant number, since it is smaller than the sum of its proper divisors (15199200).

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

6029280 is a wasteful number, since it uses less digits than its factorization.

6029280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6029280 is about 2455.4592238520. The cubic root of 6029280 is about 182.0071647141.

The spelling of 6029280 in words is "six million, twenty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 79 80 90 96 106 120 144 158 159 160 180 212 237 240 265 288 316 318 360 395 424 474 477 480 530 632 636 711 720 790 795 848 948 954 1060 1185 1264 1272 1422 1440 1580 1590 1696 1896 1908 2120 2370 2385 2528 2544 2844 3160 3180 3555 3792 3816 4187 4240 4740 4770 5088 5688 6320 6360 7110 7584 7632 8374 8480 9480 9540 11376 12561 12640 12720 14220 15264 16748 18960 19080 20935 22752 25122 25440 28440 33496 37683 37920 38160 41870 50244 56880 62805 66992 75366 76320 83740 100488 113760 125610 133984 150732 167480 188415 200976 251220 301464 334960 376830 401952 502440 602928 669920 753660 1004880 1205856 1507320 2009760 3014640 6029280